Answer:
3, 10, -2/3
Step-by-step explanation:
I don't speak spanish, so I hope i did this right.
Problem 1
set equal to each other
2x+1=x+4
-4 -4
2x-3=x
-2x -2x
-3=-x
times -1 to get a positive x
3=x
Problem 2
repeat steps
4x-5=3x+5
+5 +5
4x=3x+10
-3x -3x
x=10
Problem 3
repeat steps
x=4x+2
-4x -4x
-3x=2
divide
x=- 2/3
to find the y's, go back and plug in
Prob 1: y=(3+4) =7
Prob 2: y=[3(10)+5] =35
Prob 3: y=(-2/3) =-2/3
Answer:
1.)
y = 2x + 1
y = x + 4
Substitute
2x + 1 = x + 4
Subtract 1 on both sides
2x + 1 - 1 = x + 4 - 1
2x = x + 3
Subtract x on both sides
2x - x = x - x + 3
x = 3
Now that we have x we can use that for finding y
y = x + 4
y = 3 + 4
y = 7
x = 3
y = 4
( 3, 4 )
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2.)
y = 4x - 5
y = 3x + 5
Substitute
4x - 5 = 3x + 5
Add 5 on both sides
4x - 5 + 5 = 3x + 5 + 5
4x = 3x + 10
Subtract 3x on both sides
4x - 3x = 3x - 3x + 10
x = 10
Now that we have x, we can use that to find y
y = 3x + 5
y = 3 (10) + 5
y = 30 + 5
y = 35
x = 10
y = 35
( 10, 35)
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3.)
y = x
y = 4x + 2
Substitute
x = 4x + 2
Subtract 4x on both sides
x - 4x = 4x - 4x + 2
-3x = 2
Divide -3 on both sides to isolate the variable
-3x/-3 = 2/-3
x = -2/3
Now that we have that we can use it to find y
y = x
y = -2/3
x = -2/3
y = -2/3
( -2/3, -2/3)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
