Solve the following equation for x: 5x + 3y = 15.
(9th-grade Algebra 1)

Answer:

[tex] \frac{1}{15} x[/tex]

Step-by-step explanation:

[tex] \frac{7x}{20} - \frac{5x}{12} [/tex]

[tex] \frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12} [/tex]

[tex] \frac{21x}{60} - \frac{25x}{60} [/tex]

[tex] \frac{21x - 25x}{60} = (21 - 25)x = - 4x[/tex]

[tex] \frac{ - 4x}{60} = - \frac{ x}{15} [/tex]

[tex]\boxed{\green{= \frac{1}{15} x}}[/tex]

System of Linear Equations entered :

[1] y - 2x/3 = -1

[2] y + x = 4

// To remove fractions, multiply equations by their respective LCD

Multiply equation [1] by 3

// Equations now take the shape:

[1] 3y - 2x = -3

[2] y + x = 4

Graphic Representation of the Equations :

-2x + 3y = -3 x + y = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -y + 4

// Plug this in for variable x in equation [1]

[1] 3y - 2•(-y +4) = -3

[1] 5y = 5

// Solve equation [1] for the variable y

[1] 5y = 5

[1] y = 1

// By now we know this much :

y = 1

x = -y+4

// Use the y value to solve for x

x = -(1)+4 = 3

I hope this help you

Answer:

a=1 D

Step-by-step explanation:

insert x=1 in the equation

Answer:

When it is divided by x-1 and it has no remainder , then it means substituting x=1 into the polynomial is zero .Because x-1 is a factor.

[tex]2 {x}^{3} - a {x}^{2} - 7x + 6 \\ x = 1 \\ 2 {(1)}^{3} - a {(1)}^{2} - 7(1) + 6 = 0 \\ 2 - a - 7 + 6 = 0 \\ 1 - a = 0 \\ a = 1[/tex]

Answer:

5 is the answer

Please make the brainliest

Answer:

1/8 = 0.125

14/20 = 0.7

2/3 = 0.67

4/5 = 0.8

Step-by-step explanation:

Step-by-step explanation:

sorry man i wish i could help

Answer:

h=39/4

Step-by-step explanation:

area of a triangle = 1/2(b*h)

base = 8 inches

area =39 square inches

input the values given:

39=1/2(8*h)

multiply the right side by 1/2

39=(1/2)8h

find half of 8

39=1/2*8 (h)

hence,

39=4h

divide both sides by 4

hence,

39/4=h

yo bro math sucks you feel me

Answer:

The perpendicular bisector meets any line at an angle which is not 90°

Step-by-step explanation:

[tex].[/tex]

Answer:

the perpendicular bisector meets any line at an angle which is not 90°

Answer:

$270

Step-by-step explanation:

The opening deposit is $150.

Every month receives $10.

In 12 months it gets 12 x $10 = $120 additional money.

So together with the opening deposit at the end of 1 year the account has

$150 + $120 = $270

Answer:

19

Step-by-step explanation:

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[tex]\frac{2x-5}{3}=11 \ \ /\cdot3\\\\2x-5=33 \ \ /+5\\\\2x=38 \ \ /:2\\\\\huge\boxed{x=19}[/tex]

Answer:

m - 4m = 2m

-4 = 2m -m

- 2 = m

Answer:

m = -4

Step-by-step explanation:

Add 4 to both sides of the equation

Simplify

Add the numbers

= 2 + 4

Subtract 2 from both sides of the equation

=2+4

−2=2+4−2

Simplify

Divide both sides of the equation by the same term

Simplify

Answer:

Step-by-step explanation:

Answer:

Real and irrational numbers

Answer:

16 cards were left in the stack.

Step-by-step explanation:

27 to begin with + 6 that Cate added - 10 that Elena took - 7 that Cate took.

27 + 6 - 10 - 7 = 16

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than or equal to the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

Answer:

l = 12 is the answer

Answer:

B, L=12

Step-by-step explanation:

Simple two-step. first you ignore addition sign, (there to trick ya) so L-3=9

then you need L by itself so add three to both sides and you'll be done.

L=12

Answer:

Step-by-step explanation:

(x₁ , y₁) = (6, -4)  &    (x₂ , y₂) =(-1 , -4)

In these two points, there is no change in y-coordinates. So, the line is parallel to x-axis.

Slope of line parallel to x-axis = 0

Answer:

-1

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = (0-1)/(8-7)

   = -1/1

  = -1

Answer:

15. x = 112 degrees

18. x = 120 degrees

Step-by-step explanation:

15.

A triangle's angles always equal 180 degrees so we can find the two unknown angles by subtracting 44 from 180 and then dividing it by 2.

2a + 44 = 180

2a = 136

a = 68

Each unknown angle equals 68 degrees. The line from 44 degrees to x degrees segments a line that has a 180 degree angle so we can subtract 68 from 180 to get x.

x + 68 = 180

x = 112

18.

We can use the same concept here but now every angle equals each other so we can divide 180 by 3 to get the measure of those angles.

3a = 180

a = 60

Now we do the same thing as last time to find x.

x + 60 = 180

x = 120

Answer:

The choose D. Used the addition property of equality

4x-36=216

4x=216+36

4x=252

I hope I helped you^_^

Answer:

(3, 4)

Step-by-step explanation:

Answer:

y = mx + 3

m = Δy/Δx = -3/3 = -1

y = -1x+3

Step-by-step explanation:

Answer:

F = FIRST TERM

S = SECOND TERM

L = LAST TERM

Step-by-step explanation:

1- (x+1)² = x²+2x+1

F = x²

S = 2x

L = 1

2- (x+2)² = x² + 4x + 4

F = x²

S = 4x

L = 4

3- (x+3)² = x² + 6x +9

F = x²

S= 6x

L= 9

4 (x+ y)² = x²+2xy +y²

F = x²

S = 2xy

L = y²

Answer:

c options is right what is the answer

Answer:

you must send 25 msgs to have the same cost

Step-by-step explanation:

x = n of messages

15+ (0.25x ) = 20 + (0.05x)

0.2x = 5

x = 25

Answer:

at 25 text the plan costs are equal

Step-by-step explanation:

Plan A = $15 + .25t

Plan B = $20 + .05t

when the plan costs are equal $A = $B

then

15 + .25t = 20 + .05t

.25t - .05t = 20 - 15

.2t = 5

t = 25

Answer:

23,023 minutes

Step-by-step explanation:

$45/20 = $2.25 in a minute

$51, 802/ 2.25 = 23,023 minutes

Answer:

Step-by-step explanation:

im on the same question as you, please put a picture next time so people can tell what the area is, as this is not helpful if you can not see the polygon. thanks