Solve the system of linear equations by substitution. Check your solution.

Step-by-step explanation:

Given

Required

Solve for x and y

--- (1)

--- (2)

Divide equation (1) through by 2

Make y the subject

Substitute 4 - 2x for y in equation (2)

Open bracket

Collect Like Terms

Solve for x

Substitute 1.5 for x in

To check the solution:

Substitute the values of x and y i the equations

Hence, the solution is true

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)