3(x-1) -2 (7y+3) =14 this equation goes under the first 5(4x+3) +3 (4y+1)=66 please solve simultaneous equation with steps

Question

3(x-1) -2 (7y+3) =14

 5(4x+3) +3 (4y+1)=66

Answer 1

Expand both equations:

3x-3-14y-6=14 and 20x+15+12y+3=66.

Now simplify:

(1) 3x-14y=23 and 20x+12y=48⇒(2) 5x+3y=12.

Eliminate a variable:

5*(1)-3*(2): 15x-70y-(15x+9y)=5*23-3*12=115-36=79; -79y=79, y=-1.

Substitute y=-1 in 5x+3y=12: 5x-3=12, 5x=15, x=3.

CHECK: Original equations: 3(2)-2(-4)=6+8=14 Correct! 5(15)+3(-3)=75-9=66 Correct!