Answer:
(-5, 2)
Step-by-step explanation:
Given system of equations:
Both equations are linear equations.
<h3><u>Equation 1</u></h3>
Rearrange Equation 1 to make y the subject:
Therefore, the graph of this equation is a straight line with a negative <u>slope</u> and a <u>y-intercept</u> of (0, -4).
Find two points on the line by substituting two values of x into the equation:
Plot the found points and draw a straight line through them.
<h3><u>Equation 2</u></h3>
The graph of this equation is a straight line with a <u>positive slope</u> and a <u>y-intercept</u> of (0, 2).
Find two points on the line by substituting two values of x into the equation:
Plot the found points and draw a straight line through them.
<h3><u>Solution</u></h3>
The solution(s) to a system of equations is the <u>point(s) of intersection</u>.
From inspection of the graph, the point of intersection is (-5, -2).
To verify the solution, substitute the second equation into the first and solve for x:
Substitute the found value of x into one of the equations and solve for y:
Hence verifying that (-5, -2) is the solution to the given system of equations.
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