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Sagot :
Answer:
x = 4
y = 1
Explanation:
The system of equation is:
-2x - y = -9
5x - 2y = 18
To solve the system by elimination, we will multiply the first equation by -2, so:
[tex]\begin{gathered} -2x-y=-9 \\ -2(-2x-y)=-2(-9) \\ -2(-2x)-2(-y)=-2(-9) \\ 4x+2y=18 \end{gathered}[/tex]Now, we can add this equation to the second equation:
4x + 2y = 18
5x - 2y = 18
9x + 0 = 36
So, solving the equation, we get:
9x = 36
9x/9 = 36/9
x = 4
Finally, we replace the value of x on the first equation:
4x + 2y = 18
4(4) + 2y = 18
16 + 2y = 18
Solve for y:
16 + 2y - 16 = 18 - 16
2y = 2
2y/2 = 2/2
y = 1
Therefore, the solution of the system is x = 4 and y = 1.
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