# Math

### Select a Subject

• Math Press Enter to activate

### Select a Type

• Calculator: Permitted Press Enter to activate

### Select a Question

• Calculator: Not Permitted Press Enter to activate

### Select a Question

• Reading Press Enter to activate

### Select a Question

• Writing Press Enter to activate

### Select a Question

• Essay Press Enter to activate

# Question 23 of 30

beginning of content:

# M:C:MC:19

Tags:
SAT

Exam

Calculator: Permitted

Subscore If is a solution to the system of equations above, what is the value of -51

No

3

No

9

Yes

144

No

Choice C is correct. The second equation gives y in terms of x, so a student can use this to rewrite the first equation in terms of x. Substituting -4x for y in the equation gives This can be simplified to or Since the question asks for the value of not x, dividing both sides of by 17 gives the answer: Choice A is not the correct answer. This answer may result from neglecting to square the coefficient –4 in which would give Then the first equation would become which would give –51 as the value of Choice B is not the correct answer. This answer may result from finding the value for x, not the value of Choice D is not the correct answer. This answer may result from finding the value of not Question Difficulty:
medium
Objective:

Students must manipulate one equation for use in another, in order to solve for a given value, making use of familiar algebraic arrangements where appropriate.