Answer:
x = 6
y = 7
Step-by-step explanation:
10x - 8y = 4 ⇒ ( 1 )
-5x + 3y = -9 ⇒ ( 2 )
( 2 ) × 2
2 × ( -5x + 3y = -9 )
-10x + 6y = - 18 ⇒ ( 3 )
( 1 ) + ( 3 )
10x - 8y -10x + 6y = 4 - 18
-2y = - 14
Divide both sides by ( - 2 )
y = 7
Now let us replace y with 7 to find the value of x.
For that, let us use equation ( 1 ).
10x - 8y = 4
10x - 8 × 7 = 4
10x - 56 = 4
10x = 56 + 4
10x = 60
Divide both sides by 10.
x = 6
Answer:
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
10x-8y=4
x=2(2y+1)/5
Substitute.
[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]
Solve.
-y-2=-9
Add by 2 from both sides.
-y-2+2=-9+2
Solve.
-y=-7
Divide by -1 from both sides.
-y/-1=-7/-1
Solve.
Divide the numbers from left to right.
-7/-1=7
y=7
Substitute of y=7.
x=2(2*7+1)/5
PEMDAS stands for:
2(2*7+1)/5
Do parenthesis first.
2*7=14
14+1=15
2(15)/5
Multiply.
2*15=30
Divide.
30/5=6
x=6
I hope this helps you! Let me know if my answer is wrong or not.
