The solution of the given system of equation are x=21,y=-31.
We have given that,
Solutions are there to the following system of equations.
4x + 3y = –6
3x + 2y = 3
What is the substitution method?
The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
[tex]\begin{bmatrix}4x+3y=-6\\ 3x+2y=3\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{-6-3y}{4}[/tex]
[tex]\begin{bmatrix}3\cdot \frac{-6-3y}{4}+2y=3\end{bmatrix}[/tex]
[tex]\frac{-18-y}{4}=3[/tex]
[tex]\mathrm{For\:}x=\frac{-6-3y}{4}[/tex]
[tex]x=\frac{-6-3\left(-30\right)}{4}[/tex]
[tex]x=21[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are}[/tex]
[tex]x=21,\:y=-30[/tex]
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