Question

WILL GIVE BRAINLIEST NEED ASAP


The following system of equations has exactly one (x, y) pair for its solution.
4x + 6y= 24
2x+y=8
If we add the two equations in the original system, we have 6x + 7y= 32.
Explain why the same (x, y) pair is also a solution to this equation. Use math and be
specific in your explanation!

Answer 1

Solve for
y
y in
2
x
+
y
=
8
2x+y=8.
y
=
8
−
2
x
y=8−2x

2 Substitute
y
=
8
−
2
x
y=8−2x into
4
x
+
6
y
=
24
4x+6y=24.
−
8
x
+
48
=
24
−8x+48=24

3 Solve for
x
x in
−
8
x
+
48
=
24
−8x+48=24.
x
=
3
x=3

4 Substitute
x
=
3
x=3 into
y
=
8
−
2
x
y=8−2x.
y
=
2
y=2

5 Therefore,
x
=
3
y
=
2

​

x=3
y=2
​ look in comments to read it better but x=3 y=2 hope this helps :)