latisha76 latisha76
  • 22-01-2021
  • Mathematics
contestada

11. What is the value of xin the solution to this system of equations?
3x - 5y = 22
y = -5x + 32

Respuesta :

Аноним Аноним
  • 22-01-2021

Answer:

x = ¹³⁄₂

y = ⁻¹⁄₂

Explanation:

[tex]\bold{\begin{bmatrix}3x-5y=22\\ y=-5x+32\end{bmatrix}}[/tex]

  • Substitute y = -5x + 32

[tex]\bold{\begin{bmatrix}3x-5\left(-5x+32\right)=22\end{bmatrix}}[/tex]

  • Simplify

[tex]\bold{\begin{bmatrix}28x-160=22\end{bmatrix}}[/tex]

  • Isolate x for 28x - 160 - 22: x = ¹³⁄₂

[tex]\bold{\mathrm{For\:}y=-5x+32}[/tex]

  • Substitute x = ¹³⁄₂

[tex]\bold{y=-5\cdot \frac{13}{2}+32}[/tex]

-5 · ¹³⁄₂ + 32 = ⁻¹⁄₂

  • y = ⁻¹⁄₂

x = ¹³⁄₂

y = ⁻¹⁄₂

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