Question

to eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied? First equation: 4x − 3y = 34 Second equation: 3x + 2y = 17 The first equation should be multiplied by 2 and the second equation by 3. The first equation should be multiplied by 2 and the second equation by −3. The first equation should be multiplied by 3 and the second equation by 4. The first equation should be multiplied by 3 and the second equation by −4.

Answer 1

the first equation should be multiplied by 2 and the second 3:
8x-6y=68
9x+6y=51
add the equations
17x=119

Answer 2

Answer:

The first equation should be multiplied by 2 and the second equation by 3.

Step-by-step explanation:

First equation: 4x − 3y = 34

Second equation: 3x + 2y = 17

To eliminate y terms we need to make the coefficients same for y with opposite sign

The coefficient of y in first equation is -3

The coefficient of y in second equation is 2

The sign is already opposite. So we make the coefficients same by multiplying 2 with first equation and 3 with second equation

so it becomes

8x - 6y = 68

9x + 6y = 51

Now , when we add the equations then y will get cancelled

17x = 119

Divide by 17 on both sides

x= 7