if ( x-2, y+5 ) = ( -2, 1/3 ) find x and y.
Answers
Step-by-step explanation:
How to solve your question
Your question is
4
−
3
=
2
+
1
4x-3=2x+1
4x−3=2x+1
Solve
1
Add
3
3
3
to both sides of the equation
4
−
3
=
2
+
1
4x-3=2x+1
4x−3=2x+1
4
−
3
+
3
=
2
+
1
+
3
4x-3+{\color{#c92786}{3}}=2x+1+{\color{#c92786}{3}}
4x−3+3=2x+1+3
2
Simplify
Add the numbers
Add the numbers
4
=
2
+
4
4x=2x+4
4x=2x+4
3
Subtract
2
2x
2x
from both sides of the equation
4
=
2
+
4
4x=2x+4
4x=2x+4
4
−
2
=
2
+
4
−
2
4x{\color{#c92786}{-2x}}=2x+4{\color{#c92786}{-2x}}
4x−2x=2x+4−2x
4
Simplify
Combine like terms
Combine like terms
2
=
4
2x=4
2x=4
5
Divide both sides of the equation by the same term
2
=
4
2x=4
2x=4
2
2
=
4
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{4}{{\color{#c92786}{2}}}
22x=24
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
2
x=2
x=2
Solution
=
2
Step-by-step explanation:
( x-2, y+5 ) = ( -2, 1/3 )
x-2=-2
x=0
y+5=1/3
y=-14/3