Question

Solve the system of equations by using substitution y equals 2x + 3 x minus y equals -2

Answer 1

Answer: x = -1, y = 1 ---------- (-1, 1)

Given the following system of equation

y = 2x + 3 --------------- equation 1

x - y = -2 ------------------ equation 2

These equations can be solve simultaneously

put the value of y in equation 2

x - (2x + 3) = -2

x - 2x - 3 = -2

Collect the like terms

x - 2x = -2 + 3

-x = 1

Divide both sides by -1

x = -1

To find y, put the value of x in equation 1

y = 2(-1) + 3

y = -2 + 3

y = 1

Therefore, x = -1 and y = 1 (-1, 1)

x = -1, y = 1