If x=4, y=3 and z=-1, simplify: 1. 2x+3y-x+2y 2. (11x-y)/z

Mathematics
If x=4, y=3 and z=-1, simplify: 1. 2x+3y-x+2y 2. (11x-y)/z

ScanSolve AI Answer

Answer

-8

Step 1: Numerator 2x+3yx2y2x + 3y - x^2 y
2x+3yx2y2x + 3y - x^2 y
Substitute x=3x=3, y=5y=5:
2(3)+3(5)(3)2(5)2(3) + 3(5) - (3)^2 (5)
6+15956 + 15 - 9 \cdot 5
214521 - 45
24-24

Step 2: Denominator xzxz
xzxz
Substitute x=3x=3, z=1z=1:
313 \cdot 1
33

Step 3: Divide
243\frac{-24}{3}
8-8

Final answer: -8

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Numerator 2x + 3y - x^2 y 2x + 3y - x^2 y Substitute x=3, y=5: 2(3) + 3(5) - (3)^2 (5) 6 + 15 - 9 · 5 21 - 45 -24 Step 2: Denominator xz xz Substitute x=3, z=1: 3 · 1 3 Step 3: Divide (-24)/(3) -8 Final answer: -8…

If x=4, y=3 and z=-1, simplify: 1. 2x+3y-x+2y 2. (11x-y)/z
Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Numerator 2x + 3y - x^2 y 2x + 3y - x^2 y Substitute x=3, y=5: 2(3) + 3(5) - (3)^2 (5) 6 + 15 - 9 · 5 21 - 45 -24 Step 2: Denominator xz xz Substitute x=3, z=1: 3 · 1 3 Step 3: Divide (-24)/(3) -8 Final answer: -8