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Solution:
Given are the linear equations in two variables.
y = x2+ 3x - 7 ----> (1)
3x - y = -2 ----> (2)
Let us use substitution method to solve these equations.
3x - y = 7- x²
⇒ -2 = 7- x²
⇒ -2 - 7 = -x²
⇒ -9 = -x²
x= ±3
Put x= ±3 in (1), we get
3x - y= -2 ⇒ 3( ±3) -y = -2
⇒ ±9 -y =-2
⇒ ±9+2 = y
y= 11, -7
Summary:
Solving by Substitution y=x2+3x-7, 3x-y=-2 we get x= ±3 and y= 11, -7.