9.6k views
4 votes
Gaige is trying to solve this system by substitution. Select the first step where Gaige makes an error.

-4x - 15y = -17

x = 5y + 13

User Lele
by
8.3k points

1 Answer

2 votes

Gaige's error occurred during the isolation of the term with y. The correct result for y is -1, suggesting a mistake in the sign or calculation during the substitution process.

Gaige's first step is to substitute the expression for x from the second equation (-4x - 15y = -17) into the first equation (x = 5y + 13). Let's examine this substitution process:

The second equation is x = 5y + 13. Now, substitute this expression for x into the first equation:

-4(5y + 13) - 15y = -17

Now, distribute the -4 on the left side:

-20y - 52 - 15y = -17

Combine like terms:

-35y - 52 = -17

Next, isolate the term with y by adding 52 to both sides:

-35y = 35

Finally, divide both sides by -35 to solve for y:

y = -1

So, it seems Gaige made an error in the process. The correct result for y should be -1, but further examination is needed to identify the specific step where the error occurred. The error could be related to a sign mistake or a miscalculation during the substitution process.

User Iampat
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.