Question

10
the steps andre took to solve the system of linear equations
y = 4x + 1
y = 2x + 7
are shown below. what should andre change in order to correctly solve the system?
4x + 1 = 2x + 7
6x = 6
x = 1
a the constants should combine to equal 2
b the x-terms should combine to equal -6x
c the x-terms should be combine to equal 2x
d the constants should combine to equal 8

Explanation:

Step1: Identify correct substitution step

Set equations equal: $4x + 1 = 2x + 7$

Step2: Isolate x-terms correctly

Subtract $2x$: $4x - 2x + 1 = 7$
Simplify: $2x + 1 = 7$

Step3: Analyze Andre's error

Andre incorrectly added $2x$ instead of subtracting, leading to $6x=6$. Correct x-term combination is $4x-2x=2x$.

Answer:

C. The x-terms should be combine to equal 2x