How to elimination

Question

How do you solve this with elimination 5x+7y=32;8x+6y=46

Answer 1

You can solve these equations using elimination by multiplying each equation by a value that will eliminate one of the variables. Let's eliminate the x variable and solve for y.

Let's start by multiplying the first equation by -8 and the second equation by 5 and combine the equations:

5x+7y=32 MULTIPLY BY -8: -40x - 56y = -256

8x+6y=46 MULTIPLY BY 5: 40x + 30y = 230

-26y = -26

y = 1

Then substitute 1 for y in either original equation. Using the first equation:

5x + 7y = 32

5x + 7 * 1 = 32

5x + 7 = 32

5x + 7 - 7 = 32 - 7

5x = 25

x = 5

The solution to this system of equations is x =5 and y = 1 .

Answer 2

You can solve these equations using elimination by multiplying each equation by a value that will eliminate one of the variables. Let's eliminate the x variable and solve for y.

Let's start by multiplying the first equation by -8 and the second equation by 5 and combine the equations:

5x+7y=32 MULTIPLY BY -8: -40x - 56y = -256

8x+6y=46 MULTIPLY BY 5: 40x + 30y = 230

-26y = -26

y = 1

Then substitute 1 for y in either original equation. Using the first equation:

5x + 7y = 32

5x + 7 * 1 = 32

5x + 7 = 32

5x + 7 - 7 = 32 - 7

5x = 25

x = 5

The solution to this system of equations is x =5 and y = 1 .