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2. $y = -\frac{1}{2}x + 3$ $y = 5$ solution: $(-4, 5)$ check: desmos

Question

  1. $y = -\frac{1}{2}x + 3$

$y = 5$
solution:
$(-4, 5)$
check:
desmos

Explanation:

Step1: Substitute y=5 into linear equation

$5 = -\frac{1}{2}x + 3$

Step2: Isolate the x-term

$5 - 3 = -\frac{1}{2}x$
$2 = -\frac{1}{2}x$

Step3: Solve for x

$x = 2 \times (-2)$
$x = -4$

Step4: Verify the solution

Substitute $x=-4, y=5$ into $y = -\frac{1}{2}x + 3$:
$5 = -\frac{1}{2}(-4) + 3$
$5 = 2 + 3$
$5 = 5$

Answer:

$(-4, 5)$