Question 187766This question is from textbook Saxon
: Use elminiation to solve:
4x - 5y= -1
2x + 3y= 5
what is x?
what is y?
This question is from textbook Saxon
Answer by mgmoeab(37)   (Show Source):
You can put this solution on YOUR website! by elimination:
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Choose the variable you want to eliminate. It doesnt the order to choose to do so, usually you pick the easiest one. In this case, I'll start off eliminating "x."
4x - 5y = -1
-4x - 6y = -10 (multiply each side of the equation by -2)
0 -11y = -11
y = 1
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Now that you know the value of "y", plug it back in any of the given equations, again, it doesnt matter which one, and it will give you the value of "x".
2x + 3y= 5
2x + 3(1)=5
2x = 2
x = 1
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If you want to make sure the values you found satisfy the equations, then plug them in any of the two equations.
for the first equation:
4x - 5y = -1
4(1) - 5(1) = -1
4 - 5 = -1
-1 = -1 (it works!)
for the second equation:
2x + 3y = 5
2(1) + 3 (1) = 5
2 + 3 = 5
5 =5 (it works!)
so you can conclude that the values of x and y that satisfy both of the equations are x=1, and y =1.
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