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3 years ago

2a-5b=10 solve for b

1 answer:

4 0

Solve for b means that you need to separate b in one side and the other terms in the other side

2a-5b=10 subtract 2a from both sides

2a - 5b - 2a = 10 - 2a combine like terms

- 5b = 10 - 2a divide both sides by -5

b = -2 + 2/5 a

I hope that helps!

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7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident

Wittaler [7]

So we have the system of equations:
$7+2y=8x$ equation (1)
$3x-2y=0$ equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for $x$ in equation (2):
$3x-2y=0$
$3x=2y$
$x= \frac{2}{3}y$ equation (3)

Replacing equation (3) in equation (1):
$7+2y=8x$
$7+2y=8( \frac{2}{3} y)$
$7+2y= \frac{16}{3} y$
$7= \frac{10}{3} y$
$y= \frac{7}{ \frac{10}{3} }$
$y= \frac{21}{10}$ equation (4)

Replacing equation (4) in equation (3):
$x= \frac{2}{3}y$
$x=( \frac{2}{3} )( \frac{21}{10} )$
$x= \frac{7}{5}$

We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>

5 0

3 years ago

The equation of line AB is y= 5x+1 . Write an equation of a line parallel to line AB in slope intercept form that contains point

Nadusha1986 [10]

Slope intercept form is: y=mx+b

For the other line to be parallel they must have the same slope so:

y=5x+b, using the point (4,5) we can solve for the y-intercept, or "b"

5=5(4)+b

5=20+b

b=-15 so the line is:

y=5x-15

5 0

3 years ago

The size of the angles of a quadrilateral are in the ratio

Irina-Kira [14]

Answer:

40°, 80°, 120°, 120°

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 3 + 3 = 9 parts

The sum of the interior angles of a quadrilateral is 360°

Divide this by 9 to find the value of one part of the ratio.

360° ÷ 9 = 40° ← value of 1 part of the ratio

Then

2 parts = 2 × 40° = 80°

3 parts = 3 × 40° = 120°

The 4 angles are 40°, 80°, 120°, 120°

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3 years ago

Which shows a correct order to solve this story problem?

RSB [31]

The correct answer is C because since you want to find the totally of both of the together you would add

8 0

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Use a table of values to find the solution to the equation ƒ(x ) = h(x ) where and h(x ) = 2x + 3.

ASHA 777 [7]

f(x) h(x)

x | y x | y
0 | 3   -3 | -3
1 | 5 -2 | -1
2 | 7    -1 | 1
3 | 9 0 | 3
4 | 11 1 | 5
5 | 13    2 | 7
   3 | 9
4 | 11
5 | 13

The lines will cross at infinite points, because they are parallel to one another. The question stated that f(x) = h(x), so the inputs and outputs will be the same for both equations.

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