The solution is x = -61/8 and y = -1/2.
<u>Step-by-step explanation</u>:
The given equations are -4x + 3y = 29 and 2y + 5 = 4
<u>Step 1</u> : There is no x term in the second equation.
<u>Step 2</u> : Solve for y, 2y = 4 -5
y = -1/2
<u>Step 3</u> : Substitute y = -1/2 in first equation and solve for x.
<u>Step 4</u> : -4x + 3(-1/2) = 29
-4x -(3/2) = 29
-8x -3 = 292
-8x = 58 + 3
x = -61/8