Answer: x = 1 and y = -3
The two lines cross at the point (x,y) = (1,-3) as shown in the graph below.
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Explanation:
Subtract the equations. Subtract straight down.
The x terms subtract to get 4x-6x = -2x
The y terms subtract to get 3y-3y = 0y = 0, the y terms cancel out
Subtract the constant terms on the right side of each equation: -5 minus -3 = -5 + 3 = -2
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After those three subtractions, we end up with the new equation -2x = -2
Divide both sides by -2 to fully isolate x, to go from -2x = -2 to x = 1
Now use x = 1 to find the value of y
4x + 3y = -5
4(1) + 3y = -5 ... replace x with 1
4 + 3y = -5
4+3y-4 = -5-4 ... subtract 4 from both sides
3y = -9
3y/3 = -9/3 ... divide both sides by 3
y = -3
