Question

(08.03)Consider the following pair of equations:

Answer 1

Answer:

Step-by-step explanation:

y = -2x + 8

y = x - 1

solve by substitution

so y = -2x + 8......so sub -2x + 8 in for y back in the OTHER equation

-2x + 8 = x - 1 ........add 2x to both sides

-2x + 2x + 8 = x + 2x - 1.....combine like terms

8 = 3x - 1......add 1 to both sides

8 + 1 = 3x- 1 + 1....combine like terms

9 = 3x .....now divide both sides by 3

9/3 = (3/3)x.....simplify

3 = 1x....which is the same as 3 = x

so now that we know x is 3, sub that back into either of ur original equations to find y

y = x - 1

y = 3 - 1

y = 2

lets check it.....(3,2)

y = -2x + 8                          y = x - 1

2 = -2(3) + 8                       2 = 3 - 1

2 = -6 + 8                          2 = 2 (correct)

2 = 2 (correct)

so ur solution is (3,2) <=====