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87haymaker
13.01.2021 •
Mathematics
5. A system of equations is below. For what value would
you multiply the first equation to eliminate the x-term?
(y=x+2
3x + 3y = 6
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Ответ:
We would multiply the first equation by -3 to eliminate the x-term.
Step-by-step explanation:
Given the system of equations
y = x+2 Equation 1
3x+3y = 6 Equation 2
Multiply the Equation 1 by -3
-3y = -3(x+2) ⇒ -3y = -3x-6 ⇒ -3x+3y = 6
Thus, equation 1 becomes
-3x+3y = 6
Now, adding equation 2
-3x+3y = 6
+
3x+3y = 6
0x + 6y = 12
6y = 12
y = 2
Therefore, we would multiply the first equation by -3 to eliminate the x-term.
Ответ: