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36 votes
36 votes
-3x+5y=-8 solve for x and y

User Erikest
by
2.7k points

1 Answer

16 votes
16 votes

ANSWER

The set of equations has no solution

Step-by-step explanation

-3x + 5y = -8 ------ equation 1

6x - 10y = 16 -------- equation 2

These two equations can be solve simultaneously either by substitution method or elimination method

To solve for the value of x and y, we will be using the elimination method

-3x + 5y = -8

6x - 10y = 16

Let us eliminate x first.

We need to make the coefficient of x in both equation equal

Hence, multiply equation 1 by 2 and equation 2 by 1

-3x*2 + 5y*2 = -8 x 2

6x * 1 - 10y * 1 = 16 x 1

-6x + 10y = -16 ------------ equation 3

6x - 10y = 16 -------------- equation 4

To eliminate x , add equation 3 and 4 together

-6x + 6x + 10y + (-10y) = -16 + 16

-6x + 6x + 10y - 10y = -16 + 16

0 + 0 = 0

0 = 0

Hence, the set of equations has no solution

User Saurabh Bayani
by
2.6k points
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