Question

system 1: $y = 2x + 1$ $x + y = 7$ solve the system using substitution. show all your work.

Explanation:

Step1: Substitute y into second equation

Substitute $y=2x+1$ into $x+y=7$:
$x + (2x + 1) = 7$

Step2: Simplify and solve for x

Combine like terms and isolate x:
$3x + 1 = 7$
$3x = 7 - 1$
$3x = 6$
$x = \frac{6}{3} = 2$

Step3: Substitute x to find y

Plug $x=2$ into $y=2x+1$:
$y = 2(2) + 1 = 4 + 1 = 5$

Answer:

$x=2$, $y=5$