Solve the system of equations by substitution and show work.

y=-6x+13

y=3x+4

Answer: x = 1, y = 7

Step-by-step explanation:

y = - 6x + 13 ... equation 1

y = 3x + 4 ... equation 2

substitute y = 3x + 4 into equation 1, then we have

3x + 4 = - 6x + 13

collect the like terms, we have

3x + 6x = 13 - 4

9x = 9

x = 1

substitute x = 1 into equation 2, we have

y = 3 (1) + 4

y = 3 + 4

y = 7

Therefore : x = 1 and y = 7

(1, 7)

Step-by-step explanation:

Given the 2 equations

y = - 6x + 13 → (1)

y = 3x + 4 → (2)

Substitute y = 3x + 4 into (1)

3x + 4 = - 6x + 13 (add 6x to both sides)

9x + 4 = 13 (subtract 4 from both sides)

9x = 9 (divide both sides by 9)

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 3 (1) + 4 = 3 + 4 = 7

Solution is (1, 7)