Question

3x - 5y = 10 6x + 3y = -6 Marybeth is going to solve this problem by multiplying the top equation by -2. If she does this and combines the equations, what does she get? A) -13y = -26 B) -7y = 14 C) -2y = 4 D) 13y = -26

Answer 1

On multiplying with -2 in the equation $3 x-5 y=10$ given in the question we get as 13y = -26

Answer: Option(d)

Step by Step Explanation:

Solution;

The given two set of equations such as

$3 x-5 y=10$ (Equation 1)

$6 x+3 y=-6$ (Equation 2)

Also given, Marybeth multiplies the first equation by -2

After multiplying with -2 in first equation we get

$-2 \times[3 x-5 y]=-2 \times[10]$

$-6 x+10 y=-20$

Adding the newly obtained equation 1 and Equation 2,

$[-6 x+10 y=-20]+[6 x+3 y=-6]$

Adding the like terms x, y and constants we get

$6 x+3 y+(-6 x)+10 y=-6+(-20)$

$0 x+13 y=-6+(-20)$

13y=-26

Result:

Thus on multiplying and simplifying the above two equations gives answer as 13y = -26