Tontaban solusi /Pengeresaian SPLDV
borikut dengan metode jrafit

Ask by Harrington Brewer. in Indonesia

Jan 20,2025

Question

Tontaban solusi /Pengeresaian SPLDV borikut dengan metode jrafit $$ 2 x+4 y=8 $$ $$ 3 x+y=-9 $$

UpStudy AI · Accepted Answer

Solve the system of equations $$ 2x+4y=8;3x+y=-9 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}2x+4y=8\3x+y=-9\end{array}\right.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}2x+4y=8\y=-9-3x\end{array}\right.$$
- step2: Substitute the value of $$y:$$
  $$2x+4\left(-9-3x\right)=8$$
- step3: Simplify:
  $$-10x-36=8$$
- step4: Move the constant to the right side:
  $$-10x=8+36$$
- step5: Add the numbers:
  $$-10x=44$$
- step6: Change the signs:
  $$10x=-44$$
- step7: Divide both sides:
  $$\frac{10x}{10}=\frac{-44}{10}$$
- step8: Divide the numbers:
  $$x=-\frac{22}{5}$$
- step9: Substitute the value of $$x:$$
  $$y=-9-3\left(-\frac{22}{5}\right)$$
- step10: Simplify:
  $$y=\frac{21}{5}$$
- step11: Calculate:
  $$\left\{ \begin{array}{l}x=-\frac{22}{5}\y=\frac{21}{5}\end{array}\right.$$
- step12: Check the solution:
  $$\left\{ \begin{array}{l}x=-\frac{22}{5}\y=\frac{21}{5}\end{array}\right.$$
- step13: Rewrite:
  $$\left(x,y\right) = \left(-\frac{22}{5},\frac{21}{5}\right)$$
The solution to the system of equations $$2x+4y=8$$ and $$3x+y=-9$$ using the method of substitution is:

$$ x = -\frac{22}{5} $$
$$ y = \frac{21}{5} $$

Therefore, the solution is $$ x = -4.4 $$ and $$ y = 4.2 $$.
The solution is $$ x = -4.4 $$ and $$ y = 4.2 $$.

Tontaban solusi /Pengeresaian SPLDV
borikut dengan metode jrafit

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