To solve the system of equations, which expression could be substituted for x into the first equation?
3x-5y=14
x+4y=10
a)10-4y
b)4y+10
c)(1/4)x+(5/2)
d)(-1/4)x+(5/2)
I have another problem just like this one so if you could explain how to solve this one I can (hopefully) solve the other,thanks
Solve the second equation for x:
x + 4 y = 10 --->
x = 10 - 4 y
ok I think I got the idea,lets try this one.
2x+7y=10
x-2y=15
I'm thinking 2y-15 here are the choices:
a)(1/2)x+15
b)(1/2)x-15
c)2y+15
d)2y-15
x-2y=15 ---->
x = 2y + 15
wait, so you use reverse Order of Operations to solve x - 2y = 15, right?
Im in 7th grade and i still dont really know how to do this type of math...
To solve the system of equations:
2x + 7y = 10
x - 2y = 15
To find the expression that could be substituted for x into the first equation, we need to isolate x in the second equation.
x - 2y = 15
x = 2y + 15
Therefore, the expression that could be substituted for x into the first equation is 2y + 15. So the answer is:
c) 2y + 15
If you have any more questions, feel free to ask!
To solve the first system of equations:
Given equations:
1) 3x - 5y = 14
2) x + 4y = 10
To substitute an expression for x into the first equation, we need to solve the second equation for x.
Solving the second equation for x:
x + 4y = 10
x = 10 - 4y
Now, substitute the expression (10 - 4y) for x in the first equation:
3(10 - 4y) - 5y = 14
30 - 12y - 5y = 14
-17y = -16
y = (-16)/(-17)
y = 16/17
To find the substituted expression for x, substitute the value of y back into equation 2:
x = 10 - 4(16/17)
x = 10 - (64/17)
x = (170 - 64)/17
x = 106/17
Therefore, the expression that could be substituted for x into the first equation is (106/17).
Now, let's move on to the second problem:
Given equations:
1) 2x + 7y = 10
2) x - 2y = 15
To substitute an expression for x into the second equation, we need to solve the first equation for x.
Solving the first equation for x:
2x + 7y = 10
2x = 10 - 7y
x = (10 - 7y)/2
Now, substitute the expression ((10 - 7y)/2) for x in the second equation:
((10 - 7y)/2) - 2y = 15
(10 - 7y) - 4y = 30
10 - 7y - 4y = 30
-11y = 20
y = 20/(-11)
y = -20/11
To find the substituted expression for x, substitute the value of y back into equation 1:
x = (10 - 7(-20/11))/2
x = (10 + 140/11)/2
x = (110/11 + 140/11)/2
x = 250/22
x = 125/11
Therefore, the expression that could be substituted for x into the second equation is (125/11).