Question

A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative 2.7, 2.1), and (0, 3.5). The second line is labeled y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction and passes through the points (negative 4, 3), (negative 2.7, 2.1), and (StartFraction 1 over 3 EndFraction, 0).
Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction.x + shown on the graph?

(–2.7, 2.1)
(–2.1, 2.7)
(2.1, 2.7)
(2.7, 2.1)

Answer 1

Solve 0.5x + 3.5 = −(2/3)x + 1/3.
Multiply by 6: 3x + 21 = −4x + 2 → 7x = −19 → x = −19/7 ≈ −2.714.
y = 0.5(−19/7) + 3.5 = 15/7 ≈ 2.143.

Rounded to one decimal, the intersection is (−2.7, 2.1).