Question

Solve the simultaneous equations
2x + y = 2
4x - y = 10

Answer 1

Explanation:

Step: Solve2x+y=2for y:

2x+y=2

2x+y+−2x=2+−2x(Add -2x to both sides)

y=−2x+2

Step: Substitute−2x+2foryin4x−y=10:

4x−y=10

4x−(−2x+2)=10

6x−2=10(Simplify both sides of the equation)

6x−2+2=10+2(Add 2 to both sides)

6x=12

6x

6

=

12

6

(Divide both sides by 6)

x=2

Step: Substitute2forxiny=−2x+2:

y=−2x+2

y=(−2)(2)+2

y=−2(Simplify both sides of the equation)

Answer:

x=2 and y=−2

Answer 2

x=2 y=-2

Explanation:

2×2+-2=2

4×2--2=10