Step 1: Label the given equations. 4x + y = 10; x + y = 7 Step 2: Subtract the second equation from the first to eliminate y. (4x + y) − (x + y) = 10 − 7; 4x + y − x − y = 3; 3x = 3 Step 3: Solve for x. x = 3/3 = 1; Step 4: Substitute x = 1 into the second equation to solve for y. 1 + y = 7; y = 7 − 1 = 6 Step 5: Verify the solution in the first equation. 4(1) + 6 = 4 + 6 = 10 The solution is correct. Final answer: x=1, y=6

4x+y=10.x+y=7

March 19, 2026Mathematics

ScanSolve AI Answer

Answer

x=1,\ y=6

Step-by-step solution

5 steps

Label the given equations.
$\begin{cases} 4x + y = 10 \\ x + y = 7 \end{cases}$
Subtract the second equation from the first to eliminate $y$ .
$(4x + y) - (x + y) = 10 - 7$ $4x + y - x - y = 3$ $3x = 3$
Solve for $x$ .
$x = \frac{3}{3} = 1$
Substitute $x = 1$ into the second equation to solve for $y$ .
$1 + y = 7$ $y = 7 - 1 = 6$
Verify the solution in the first equation.
$4(1) + 6 = 4 + 6 = 10$
The solution is correct.

Final answer:
$\boxed{x=1,\ y=6}$

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4x+y=10.x+y=7

Answer

Step-by-step solution

Label the given equations.

Subtract the second equation from the first to eliminate yyy.

Solve for xxx.

Substitute x=1x = 1x=1 into the second equation to solve for yyy.

Verify the solution in the first equation.

Try one yourself

Still stuck on this one?

More Mathematics Questions

Subtract the second equation from the first to eliminate $y$ .

Solve for $x$ .

Substitute $x = 1$ into the second equation to solve for $y$ .