Question

Q2: When solving the system of equations below, choose which steps could be correct. ​3x+2y=172x+5y=26 To cancel the x's, multiply the top equation by 2 and the bottom equation by -3. To cancel the x's, multiply the top equation by 4 and the bottom equation by -6. To cancel the y's, multiply the top equation by 5 and the bottom equation by 2. To cancel the y's, multiply the top equation by -2.5.

Answer 1

Answer:

Option A) multiply the top equation by 2 and the bottom equation by -3

Option D)  To cancel the y's, multiply the top equation by -2.5.  

Step-by-step explanation:

We are given the following equations in the question:

$3x+2y=17\\2x+5y=26$

We have to eliminate x from the equation in order to solve the equation.

Option A) multiply the top equation by 2 and the bottom equation by -3

$(3x+2y=17)\times 2\\ (2x+5y=26)\times -3\\\Rightarrow 6x + 4y = 34\\-6x-15y=-78\\\text{Adding equations we get}\\-11y = -44\\y = 4$

We have to eliminate y from the equation in order to solve the equation.

Option D)  To cancel the y's, multiply the top equation by -2.5.

$(3x+2y=17)\times -2.5\\ (2x+5y=26)\times 1\\\Rightarrow -7.5x -5y = -42.5\\2x+5y=26\\\text{Adding equations we get}\\-5.5x = -16.5\\x = 3$