Find the solution for this system of equations.
12x + 15y = 34
-6x + 5y = 3
x =
y=
Answers
Answer:
y=1.6
x=0.834
hope it helps..
Step-by-step explanation:
STEPS USING SUBSTITUTION
{
3x+2y=8
4x+5y=3
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
3x+2y=8,4x+5y=3
Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.
3x+2y=8
Subtract 2y from both sides of the equation.
3x=−2y+8
Divide both sides by 3.
x=
3
1
(−2y+8)
Multiply
3
1
times −2y+8.
x=−
3
2
y+
3
8
Substitute
3
−2y+8
for x in the other equation, 4x+5y=3.
4(−
3
2
y+
3
8
)+5y=3
Multiply 4 times
3
−2y+8
.
−
3
8
y+
3
32
+5y=3
Add −
3
8y
to 5y.
3
7
y+
3
32
=3
Subtract
3
32
from both sides of the equation.
3
7
y=−
3
23
Divide both sides of the equation by
3
7
, which is the same as multiplying both sides by the reciprocal of the fraction.
y=−
7
23
Substitute −
7
23
for y in x=−
3
2
y+
3
8
. Because the resulting equation contains only one variable, you can solve for x directly.
x=−
3
2
(−
7
23
)+
3
8
Multiply −
3
2
times −
7
23
by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
x=
21
46
+
3
8
Add
3
8
to
21
46
by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.
x=
7
34
The system is now solved.
x=
7
34
,y=−
7
23