Answer:
x = 3 and y = 2
Step-by-step explanation:
y = 3x - 7
substituting for y in 4x + 3y = 18, we will have
4x + 3(3x -7) = 18
4x + 9x - 21 = 18
13x = 18 + 21
13x = 39
x = 3
Substituting for x in y = 3x -7, we have
y = 3(3) - 7
y = 9 - 7
y = 2
Answer:

Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal and the corresponding angles are congruent
In this problem Triangles PQT and RQS are similar by AA Similarity Theorem (The three angles are congruent)
therefore

We need to find the points that are solutions, that is, the points that lie in the shaded region.
Let's try the ordered pair (1,2). This isn't in the shaded region, so it is not a solution of the system.
The same goes for (-10, 10) and (-2,0).
But when you plot (0,10), it does lie in the shaded region, so it's a solution of the system of inequalities.