Colin can multiply first equation by -4 so that when the two equations are added together, the x term is eliminated.
Step-by-step explanation:
Given system of equations is;
1/2x + 1/4y = 5
2 x + 3/8y = 5
Now,
For eliminating x, we need negative 2 with x.
If we multiply -2 with first equation;
[tex]-2(\frac{1}{2}x+\frac{1}{4}y=5)\\-x-\frac{1}{2}y=-10[/tex]
It will not cancel when added.
Therefore;
We will multiply the first equation by -4.
[tex]-4(\frac{1}{2}x+\frac{1}{4}y=5)\\-2x-y=-20[/tex]
Colin can multiply first equation by -4 so that when the two equations are added together, the x term is eliminated.
Keywords: linear equation, elimination method
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