Question

Solve the system of equations.


5x + 2y = 12
5x – 2y = 28

Answer 1

x=4 y=-4

Explanation:

Step: Solve5x+2y=12for x:

5x+2y=12

5x+2y+−2y=12+−2y(Add -2y to both sides)

5x/5=−2y+12/5

x= −2/5y+12/5

−2/5y+12/5 for x in5x−2y=28

5(−2/5y+12/5)−2y=28

−4y+12=28(Simplify both sides of the equation)

−4y+12+−12=28+−12(Add -12 to both sides)

−4y=16

−4y/−4=16/−4

(Divide both sides by -4)

y=−4

Substitute −4 for y in x=−2/5y+12/5

x= −2/5y+12/5

x=−2/5(−4)+12/5

x=4