Which equation is not equivalent to x + 10 = 2x

To solve this problem we can create a system of linear equations in terms of two-variables (say $x$ and $y$ ) and solve it. To begin let us analyze the problem further. We know that the values of each coin type are:

Dimes ( $x$ ) = $0.10

Quarters( $y$ ) = $0.25

Total Value = $7.70

Total Coins = 50

Now let us set up our system of equations as:

$0.10x+0.25y=7.70$ Eqn.(1)

$x+y=50$ Eqn.(2)

Lets take Eqn.(2) and rerrange it to solve for $x$ as:

$x=50-y$ Eqn.(3)

Now lets plug this, in Eqn.(1) so we get the value of $y$ as:

$0.10(50-y)+0.25y=7.70\\\\5-0.10y+0.25y=7.70\\\\-0.10y+0.25y=7.70-5\\\\0.15y=2.7\\\\$

$y=\frac{2.70}{0.15} \\\\y=18$

Plugging in $y=18$ back in Eqn.(3) we finally have:

$x=50-18\\x=32$

Thus we conclude that in the jar the coins are:

Dimes ( $x$ ) $=32$

Quarters( $y$ ) $=18$

6 0

4 years ago

-2x^4y(3x^3-4x^2y^3)

Ilia_Sergeevich [38]

x = {-1, 3}

Full explanation=

Simplifying x + 2 = 3x + -1x2 + 5 Reorder the terms: 2 + x = 3x + -1x2 + 5 Reorder the terms: 2 + x = 5 + 3x + -1x2 Solving 2 + x = 5 + 3x + -1x2 Solving for variable 'x'. Reorder the terms: 2 + -5 + x + -3x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2 Combine like terms: 2 + -5 = -3 -3 + x + -3x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2 Combine like terms: x + -3x = -2x -3 + -2x + x2 = 5 + 3x + -1x2 + -5 + -3x + x2 Reorder the terms: -3 + -2x + x2 = 5 + -5 + 3x + -3x + -1x2 + x2 Combine like terms: 5 + -5 = 0 -3 + -2x + x2 = 0 + 3x + -3x + -1x2 + x2 -3 + -2x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 -3 + -2x + x2 = 0 + -1x2 + x2 -3 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -3 + -2x + x2 = 0 Factor a trinomial. (-1 + -1x)(3 + -1x) = 0 Subproblem 1Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1 Subproblem 2Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solutionx = {-1, 3}

4 0

3 years ago

In JKL and PQR, if JK PQ, KL QR, and K Q, then JKL must be congruent to PQR. True or false?

Levart [38]

I believe the answer is true.

4 0

3 years ago

Read 2 more answers

Which equation is not equivalent to x + 10 = 2x – 4?