Question

Solve the simultaneous equations by substitution 3 x − 7 y = − 10 x = 5 y + 2

Answer 1

`3x-7y=-10_((1)) \\x=5y+2_((2))\\`

Substituting Equation 2 into equation 1

`3(5y+2)-7y=-10_((3)) \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=(-16)/(8) \\y=-2\\`

Substitute the value of y into Equation 2

`x=5y+2\\x=5(-2)+2\\x=-10+2\\x=-8\\`

Therefore x=-8, y=-2

Explanation:

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