Answer:
(x,y) = (2,3)
Step-by-step explanation:
y=5x-7 (i)
-3x-2y= -12
-(3x+2y)= -12
3x+2y= 12 (ii)
By putting the value of y from (i) in (ii)
3x+2(5x-7)=12
3x+10x-14=12
13x=12+14
13x= 26
x = 
x= 2
By putting the value of x in (i)
y= 5(2)-7
y= 10-7
y= 3
(x,y) = (2,3)
Answer:
x=48
Step-by-step explanation:
x-3 15
------------ = ----------
6 2
We can use cross products to solve this problem
(x-3) *2 = 6*15
Distribute
2x-6 = 90
Add 6 to each side
2x-6+6 = 90+6
2x=96
Divide by 2
2x/2 = 96/2
x = 48
Answer:
-3/10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-6-(-9))/(-3-7)
m=(-6+9)/-10
m=3/-10
m=-3/10
5(2x+8)-5x=5(5x+6)
Distribute
10x+40-5x=25x+30
combine like terms
5x+40=25x+30
-5x -5x
subtract 5x from both sides
40=20x+30
-30 -30
subtract 30 from both sides
10=20x
÷20 ÷20
divide both sides by 20
1/2=x is your final answer