Respuesta :
It looks like there is a small formatting error in your equations. I believe you intended to write:
+
=
35
x+y=35
−
=
5
x−y=5
We can solve this system of linear equations using the addition method. Here's the step-by-step solution:
Write down the equations:
{
+
=
35
−
=
5
{
x+y=35
x−y=5
Add the two equations:
(
+
)
+
(
−
)
=
35
+
5
(x+y)+(x−y)=35+5
This simplifies to:
2
=
40
2x=40
Solve for
x:
=
40
2
=
20
x=
2
40
=20
Substitute
=
20
x=20 back into one of the original equations to solve for
y:
Using
+
=
35
x+y=35:
20
+
=
35
20+y=35
=
35
−
20
y=35−20
=
15
y=15
So, the solution to the system of equations is:
=
20
,
=
15
x=20,y=15