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only if x=0
-x is the same as -1x -4x is -4 x If you had -1 -4 what do you get?
-1 - 4 = ?
im having a lot of trouble with this Solve the system. y = 2 - x and y = 4x + 7 (1, 1) (1, 3) (-1, 3) (-1, 1) no solution im prettyy sure tis no solution
Right, so since -1 - 4 = -5, then -x - 4x = -5x
Now the system. Again, you have the two equations solved for y already, so use substitution.
Do you remember from the two previous systems what to do next?
yes im working ion it
Ok, let me see what you're up to since you're having trouble with it.
ok so i had 2-x=4x+7 2-x +2=4x+7+2 -x=4x+9 -x-4x=9 now im stuck
The 2 on the left side is positive, so you need to subtract 2 from both sides.
-x (so -1x) take away 4 more x's. It's like being $1 in the hole in the bank account. Spend four more bucks, and you are $5 in the whole, not $3. However... -x - 4x = 3x is interesting because: -x - 4x + x = 3x + x Then we have -4x = 3x Then as said above, if x = 0, then it is true, otherwise no. Hope this helps.
2 - x = 4x + 7 2 - 2 - x = 4x + 7 - 2 -x = 4x + 5 Now subtract 4x from both sides
-x - 4x = 4x - 4x + 5 -5x = 5
right, x = -1
Now insert this value of x in one of the original equations, and solve for y
sorry i had to do something i do it one sec
y = 3. You're right, but remember x = -1, not x = 1
one more question The ordered pair (-1, -1) is a solution of the system -4x + 2y = 2 and x + y = -2. True False
i think its true
Substitute the ordered pair into both equations. If it makes them both true, it's a solution.
ok i did it its true
-4x + 2y = 2 Try (-1, -1) Is -4(-1) + 2(-1) = 2 ? 4 - 2 = 2? Yes. The ordered pair works in the first equation. Now try the second. x + y = -2 Is -1 + (-1 ) = -1 true? -2 = -2. It's true. You are correct, (-1, -1) is a solution.