Step: Solve
2
x
+
y
=
3
for y:
2
x
+
y
=
3
2
x
+
y
+
−
2
x
=
3
+
−
2
x
(Add -2x to both sides)
y
=
−
2
x
+
3
Step: Substitute
−
2
x
+
3
for
y
in
4
x
+
3
y
=
1
:
4
x
+
3
y
=
1
4
x
+
3
(
−
2
x
+
3
)
=
1
−
2
x
+
9
=
1
(Simplify both sides of the equation)
−
2
x
+
9
+
−
9
=
1
+
−
9
(Add -9 to both sides)
−
2
x
=
−
8
−
2
x
−
2
=
−
8
−
2
(Divide both sides by -2)
x
=
4
Step: Substitute
4
for
x
in
y
=
−
2
x
+
3
:
y
=
−
2
x
+
3
y
=
(
−
2
)
(
4
)
+
3
y
=
−
5
(Simplify both sides of the equation)
Answer:
x
=
4
and
y
=
−
5
Answer:
7.777777… is repeating
6.213 is repeating
5.152535 is non repeating
4.04 is repeating
Answer:
(0,7)
Step-by-step explanation:
(I'm assuming you have to solve the system of equations)
3x -10y = -70
4x +9y = 63
Solving by elimination.
Eliminate x first, so we need the x-component of both equations to have the same number but opposite sign. So i'm going to multiply the first by -4 and the second by +3.
//I could have also done +3 to first and -4 to second
-4(3x -10y = -70)
3(4x +9y = 63)
-12x +40y = 280
12x +27y = 189
Add the equations //x's cancel
67y = 469
Divide both side by 67, y=7
Plug in y into any original equation to solve to x
3x - 10(7) = -70
3x -70 = -70
3x = 0
x=0
Answer:
6
Step-by-step explanation: