Answer:
x = 23, y = 16
Explanation:
Yolanda wants to solve the system shown below. 3x − 4y = 5 2x + 3y = −2 She decides to use the elimination method to eliminate the x variable. Describe how she can do this.
Using Elimination method
3x − 4y = 5 ..... Equation 1
2x + 3y = −2....... Equation 2
We Multiply Equation 1 by 2 and Equation 2 by 3 to Eliminate x
6x - 8y = 10..... Equation 3
6x - 9y = -6...... Equation 4
We substract Equation 4 from Equation 3
y = 16
Solving for x , by Substituting 16 for y in Equation 2
3x − 4y = 5...... Equation 1
3x -4 × 16 = 5
3x - 64= 5
3x = 5 + 64
3x = 69
x = 69/3
x = 23
Therefore, x = 23, y = 16