Solve the simultaneous equations 4π₯ – y = 7 and 3π₯ + 2y = 19

=

π₯

,

=

y

Correct

2π₯ – y = 6
5π₯ + 2y = 33

4π₯ – 2y = 12 Multiply the first equation by 2 to give
5π₯ + 2y = 33 the same number of y's in each equation

9π₯ = 45 Add the two equations together to eliminate y

So π₯ = 45 ÷ 9
= 5

2 × 5 – y = 6 Substitute the value of π₯ we have found into the first equation
10 – y = 6
-y = 6 – 10 Take 10 away from both sides
-y = -4
y = 4 Divide both sides by -1