Answer:
6x+4y=16; −2x+y=−3
Solve −2x+y=−3 for y:
−2x+y=−3
−2x+y+2x=−3+2x (Add 2x to both sides)
y=2x−3
Substitute 2x−3 for y in 6x+4y=16:
6x+4y=16
6x+4(2x−3)=16
14x−12=16 (Simplify both sides of the equation)
14x−12+12=16+12 (Add 12 to both sides)
14x=28
(Divide both sides by 14)
x=2
Step: Substitute 2 for x in y=2x−3:
y=2x−3
y=(2)(2)−3
y=1 (Simplify both sides of the equation)
Answer:
x=2 and y=1