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Solve the following system of equations: (2 points) 5x + y = 9 3x + 2y = 4 a (−2, 5) b (1, 4) c (2, −1) d (4, −4)
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Oct 3, 2021
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Solve the following system of equations: (2 points) 5x + y = 9 3x + 2y = 4 a (−2, 5) b (1, 4) c (2, −1) d (4, −4)
Mathematics
high-school
Riccardo Volpe
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Riccardo Volpe
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X = 2
Y = -1
How to solve -
You can subtract the equations
to do that you have to find a way to get rid of one of the variables.
Easiest way to do this based on these equations is by multiplying one of the equations by -2.
-2(5x + y =9)
From there you’d get
-10 x - 2 y = -18
Now you can add the equations since you already distributed the negative two to the equations.
10 x - 2 y = -18
+
3 x + 2 y = 4
————————
-7 x = - 14
x = 2
To find y, you have to substitute x =2 into one of the equations.
5(2) + y = 9
———————
y = -1
Jan Hecking
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Oct 7, 2021
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Jan Hecking
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