Answer:
The values are
x = -25/9 = -2 7/9
y = 7/3 = 2 1/3
Step-by-step explanation:
3x + 2y = -13 --------eqn 1
3x + 4y = 1-------------eqn2
Using eqn 2 to get the value of y
3x + 4y = 1
4y = 1 - 3x
Dividing both sides by 4,to get y
4y/4 =( 1 -3x) / 4
y = (1 - 3x) / 4
Since we've gotten the value for y, substitute the value into eqn 1
3x + 2y = -13
3x + 2(3x - 1)/4 = -13
Opening the bracket
3x + (6x - 2)/4 = -13
LCM = 4
(12x + 6x - 2) / 4 = -13
18x - 2 / 4 = -13
Then we cross multiply
18x - 2 = -13 * 4
18x - 2 = - 52
18x = -52 + 2
18x = -50
Divide both sides by 18, to get the value of x
18x/18 = -50/18
x = -25/9
or x = -2 7/9
The value of x is now known, so let's go back to eqn 2
Substitute x = - 25/9
3x + 4y = 1
3(-25/9) + 4y = 1
Open the bracket
-75/9 + 4y = 1
Make y the subject of the formula
4y = 1 + 75/9
LCM = 9
4y = (9 + 75)/ 9
4y = 84/9
To get y, divide both sides by 4
4y/4 = 84/9 / 4/1
y =
Note : when division changes to multiplication, it always be in its reciprocal form
y = 84/9 / 1/4
y = 84 * 1 / 9 *4
y = 84/ 36
y = 7/3
Or
y = 2 1/3
Answer:
2(x/y)+40
Step-by-step explanation:
2(x/y)+40
Step-by-step explanation:
problem 1.
1. 6y = 30
2. y = 5
3. 3x + 2(5) = 16
4. 3x+10=16
5. 3x=6
6. x=2
solution: (2,5)
problem 2.
1. x=7
2. 4(2)-2y=18
3. 28-2y=18
4. -2y= -10
5. y=5
solution (7,5)
problem 3
10x=10
x=1
7(1) +y =-2
y=-9
(1,9)
problem 4
0= -6
no solution
problem 5
0=0
Infinite many
Answer: 8.94
Step-by-step explanation:
