Question

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Explanation:

Question 24 Step1: Identify intersection point

The solution of a system of linear equations graphed is the point where the two lines cross. Observing the graph, the lines intersect at $(-2, -1)$.

Question 25 Step1: Add the two equations

Add $2x - y = 10$ and $x + y = 2$ to eliminate $y$:
$$(2x - y) + (x + y) = 10 + 2$$
$$3x = 12$$

Question 25 Step2: Solve for $x$

Divide both sides by 3:
$$x = \frac{12}{3} = 4$$

Question 25 Step3: Substitute $x$ to find $y$

Substitute $x=4$ into $x + y = 2$:
$$4 + y = 2$$
$$y = 2 - 4 = -2$$
The solution is $(4, -2)$.

Answer:

1. (-2, -1)
2. (4, -2)