Question

Solve the simultaneous equations 2x+3y=9 4x+y=13

Answer 1

x=3, y=1

Explanation:

2x+3y=9. Equation 1

4x+y=13 Equation 2

y=13-4x. Modify equation 2 to isolate y

2x+3(13-4x)=9 subst value of y of equation 2 into equation 1

2x+39-12x=9 solve equation

-10x+39=9

-10x=-30

x=3

solve for y

2x+3y=9

2(3)+3y=9

6+3y=9

3y=3

y=1

Check answer:

4x+y=13

4(3)+1=13

13=13