Answer:
x= 5/4 ; y= -7/4
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
3x+y=2;5x−y=8
Step: Solve3x+y=2for y:
3x+y+−3x=2+−3x(Add -3x to both sides)
y=−3x+2
Step: Substitute−3x+2foryin5x−y=8:
5x−y=8
5x−(−3x+2)=8
8x−2=8(Simplify both sides of the equation)
8x−2+2=8+2(Add 2 to both sides)
8x=10
8x
8
=
10
8
(Divide both sides by 8)
x=
5
4
Step: Substitute
5
4
forxiny=−3x+2:
y=−3x+2
y=−3(
5
4
)+2
y=
−7
4
(Simplify both sides of the equation)
Answer:
x=
5
4
and y=
−7
4
Answer:
x intercept is 8, y intercept is 10
Step-by-step explanation:
x intercept is the x value for which the graph crosses the x-axis. Similar for y.
5x + 4y = 40 describes a straight line, so we should have no problem with finding those values
Let's find an x for which y = 0
5x + 4y = 40
substitute y=0
5x = 40
x = 8
Let's find a y for which x = 0
5x + 4y = 40
substitute x=0
4y = 40
y = 10
Perhaps you can send a picture of the problem so I can help you?
Answer:
3 1/2 gallons of paint
Step-by-step explanation:
1 5/8 - 5/6 = x
Turn the mixed number into an improper fraction:
1 5/8 = 13/8 = x
13/8 - 5/6 = x
make the denominator the same:
13/8 * 3 = 104/24
5/6 * 4 = 20/24
Subtract:
104/24 - 20/24 = 84/24
Simplify:
84/24 divided by 6 = 14/4
14/4 divided by 2 = 7/2
Turn into a mixed number:
3 1/2
Hope this helps!!! ~Carley