The system of equations shown below is graphed on a coordinate grid: 4y + x = 4
2y - x = 8
Which statement is true about the coordinates of the point that is the solution to the
system of equations? (5 points)
1) It is (2,5) and lies on both lines.
2) It is (-4, 2) and lies on both lines.
3) It is (2,5) and does not lie on either line.
4) It is (-4, 2) and does not lie on either line.

a

step-by-step explanation:

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

(1 km=1000m, 1m=100 cm)

1.44 centimeters is the correct answer