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Solve the following system by substitution:Y =-24x - 3y = 18

User Roy
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1 Answer

4 votes

x=3

y=-2

Step-by-step explanation

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.

given the system of equations


\begin{gathered} y=-2\rightarrow equation(1) \\ 4x-3y=18\rightarrow equation(2) \end{gathered}

Step 1

as we know the value of y ( equation 1), we just need to replace this value in equation (2) and solve for x

hence


\begin{gathered} 4x-3y=18\operatorname{\rightarrow}equat\imaginaryI on(2) \\ replace\text{ the y value from equation \lparen1\rparen and solve for x} \\ 4x-3(-2)=18 \\ 4x+6=18 \\ subtract\text{ 6 in both sides} \\ 4x+6-6=18-6 \\ 4x=12 \\ divide\text{ both sides by 4} \\ (4x)/(4)=(12)/(4) \\ x=3 \end{gathered}

therefore, the solution is

x=3

y=-2

I hope this helps you

Solve the following system by substitution:Y =-24x - 3y = 18-example-1
User JKirchartz
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