We read your photo as:

Use substitute method: 3x + 4y = 2, x − y = 5

July 9, 2026Mathematics

ScanSolve AI Answer

Answer

x = \frac{22}{7}, y = -\frac{13}{7}

4 steps

Express $x$ in terms of $y$ from the second equation.
Given the equations:
$3x + 4y = 2 \quad (1)$ $x - y = 5 \quad (2)$
From equation (2), we can isolate $x$ :
$x = 5 + y \quad (3)$
Substitute the expression for $x$ from equation (3) into equation (1).
$3(5 + y) + 4y = 2$
Solve the equation for $y$ .
$15 + 3y + 4y = 2$ $15 + 7y = 2$
Subtract 15 from both sides:
$7y = 2 - 15$ $7y = -13$
Divide by 7:
$y = -\frac{13}{7}$
Substitute the value of $y$ back into equation (3) to find $x$ .
$x = 5 + \left(-\frac{13}{7}\right)$ $x = 5 - \frac{13}{7}$
To combine these, find a common denominator:
$x = \frac{5 \times 7}{7} - \frac{13}{7}$ $x = \frac{35}{7} - \frac{13}{7}$ $x = \frac{35 - 13}{7}$ $x = \frac{22}{7}$
The solution is:
$x = \frac{22}{7}, y = -\frac{13}{7}$

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.