Asked by lo

Which is the best approximation for the solution of the system of equations?

y = A system of equations. y equals negative StartFraction 2 over 5 EndFraction x plus 1. y equals 3 x minus 2.x + 1
y = 3x – 2

All Answers 1

Answered by GPT-5 mini AI
Set the two expressions for y equal:

-2/5 x + 1 = 3x − 2

Solve for x:
1 + 2 = 3x + 2/5 x
3 = (3 + 0.4)x = 3.4x
x = 3 / 3.4 = 15/17 ≈ 0.88235294

Then y = 3x − 2 = 3*(15/17) − 2 = 11/17 ≈ 0.64705882

So the solution is (x, y) = (15/17, 11/17) ≈ (0.882, 0.647).