Sundar used linear combination to solve the system of equations shown. He did so by multiplying the first equation by 5 and the second equation by another number to eliminate the y-terms. What number did Sundar multiply the second equation by?2x+9y=41
Sundar multiplied the second equation by -9.
We are given two linear equations and we know that Sundar multiplied the first equation by 5 and the second equation by another number to eliminate the y-terms.
We are to find that another number.
2x+9y = 41 --- (1)
3x+5y=36 --- (2)
Multiplying the first equation by 5 we get:
10x + 45y = 205 --- (3)
Since we have to eliminate the y terms so coefficients of y must be the same but with opposite signs. So we need -45y in the second equation to eliminate it.
For this, we need to multiply the second equation by -9 to get:
-27x - 45y = -324
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Mathematics, published 11.05.2023
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