Question

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

Answer 1

Answer:

$3x-7y=-10_{(1)} \\x=5y+2_{(2)}$

Substituting Equation 2 into equation 1

$3(5y+2)-7y=-10_{(3)} \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=\frac{-16}{8} \\y=-2$

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

Step-by-step explanation:

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