Solve these pair of simultaneous questions: 3x+2y=17 4x-y=30

Let's solve for x first by substituting y in terms of x.

4x-y=30

y=4x-30

3x+2y=3x+2(4x-30)=3x+8x-60=11x-60

11x-60=17

11x=77

x=7

Now let's solve for y by substituting x for 7

3x +2y=17

3(7)+2y=17

21+2y=17

2y=17-21

2y=-4

y=-2

We can check if our answers are correct by substituting them in the equations

3x+2y=17

3(7)+2(-2)=21-4=17

4x-y=30

4(7)-(-2)=28+2=30

Answered by Jin-Ho Y. Maths tutor

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