Question

Solve the system of equations by using elimination. Write the solution as an ordered pair.

4x−3y=35x+6y=7

Answer 1

Answer is (1, 1/3)

Step by step

Our equations are

4x -3y = 3 ➡️ equation 1

5x + 6y = 7 ➡️ equation 2

Using elimination method we need to change one equation so one variable can be eliminated and then solve

I will multiply all terms in equation 1 by 2

2 ( 4x -3y = 3)

8x -6y = 6 ➡️ equation 1

5x + 6y = 7 ➡️ equation 2

So you see we can eliminate -6y and +6y by adding the like terms in the equations

13x = 13

Divide both sides by 13 to solve for x

13/13 x = 13/13

x = 1

Now substitute the value of x = 1 into equation 2

5x + 6y = 7 ➡️ equation 2

5(1) + 6y = 7
5 + 6y = 7
Subtract 5 from both sides to isolate variable

5 -5 + 6y = 7 -5
Simplify

6y = 2

Divide both sides by 6 to solve for y

6/6 y = 2/6
Simplify

y = 1/3

I graphed it to check my work, solution is correct