A system of equations with infinitely many solutions is a system where the two equations are identical. The lines coincide. Anything that is equal to
will work. You could try multiply the entire equation by some number, or moving terms around, or adding terms to both sides, or any combination of operations that you apply to the entire equation.
You could multiply the whole thing by 4.5 to get
. If you want, you could mix things up and write it in slope-intercept form:
. The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers!
The attached graph shows that four different equations are really the same.
Step 1. Simplify
to
Step 2. Simplify
to
Step 3. Simplify
to
Step 4. Cancel
on both sides
Step 5. Multiply both sides by
(the LCM of
)
Step 6. Expand
Step 7. Subtract
from both sides
Step 8. Simplify
to
Step 9. Multiply both sides by
Done! :) Hope this helps! :)
Answer:
Her final answer should have been x = 1/2.
Step-by-step explanation:
Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.
Correct solution:
8(x-3)+7=2x(4-17)
8x-24+7=8x-34x
-17=-34x
The negatives on both sides cancel each other out
x = 1/2
They aren't equivalent
<h2>Explanation:</h2>
In order to determine whether the expression:
is equivalent to:
Genevieve needs to follow these steps:
Step 1. Get rid parentheses
Step 2. Combine like terms
Step 3. Solve
So:
Therefore, these two expressions aren't equivalent.
<h2>Learn more:</h2>
Writing expressions: brainly.com/question/13894833#
#LearnWithBrainly
Answer:
A and B are correct
Step-by-step explanation:
if x:y is 1:3 then x is 1 and y is 3
1/3 of 3 is 1 so A is correct
3/4(1+3) is 3 so B is correct
But
1/4 × 3 is not 1 so C is not correct
3/4 ×1 is not 3 so D isn't correct
