Gantikan x = 2 ke dalam 3. Substitute x = 2 into 3. Maka / Thus, x = 2 dan / and y = ?

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for the systems of equations:

:
We have the system:

\begin{cases} 3x - 2y = 8 \quad &(1) \\ x + y = 5 \quad &(2) \end{cases}

Express $x$ in terms of $y$ from equation (2).
$x = 5 - y$
Substitute this expression for $x$ into equation (1).
$3(5 - y) - 2y = 8$ $15 - 3y - 2y = 8$ $15 - 5y = 8$
Solve for $y$ .
$-5y = 8 - 15$ $-5y = -7$ $y = \frac{-7}{-5}$ $y = \frac{7}{5}$
Substitute the value of $y$ back into the expression for $x$ .
$x = 5 - \frac{7}{5}$ $x = \frac{25}{5} - \frac{7}{5}$ $x = \frac{18}{5}$
The solution for is: $\boxed{x = \frac{18}{5}, y = \frac{7}{5}}$

:
We have the system:
$\begin{cases} 4x - 3y = -13 \quad &(1) \\ x - 5y = 1 \quad &(2) \end{cases}$
Your previous work showed $y=3$ , which is incorrect. Let's solve it step-by-step.
Express $x$ in terms of $y$ from equation (2).
$x = 1 + 5y$
Substitute this expression for $x$ into equation (1).
$4(1 + 5y) - 3y = -13$ $4 + 20y - 3y = -13$ $4 + 17y = -13$
Solve for $y$ .
$17y = -13 - 4$ $17y = -17$ $y = \frac{-17}{17}$ $y = -1$
Substitute the value of $y$ back into the expression for $x$ .
$x = 1 + 5(-1)$ $x = 1 - 5$ $x = -4$
The solution for is: $\boxed{x = -4, y = -1}$

Step-by-step solution