What is the solution to 3(2x-1)=(6x+5)
1 answer:
We are given this equation and I'm assuming you want us to solve for x
Use the distributive property on the left side of the equation
Subtract both sides by 6x
After trying to solve for x, we have this weird equation. Since -3 does NOT equal 5 and there is no other way for us to try and solve this, the equation has no solution.
Let me know if you need any clarifications, thanks!
~ Padoru
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Answer:
Step-by-step explanation:
1) In order to solve a system of equations with the elimination method, you need to add or subtract the two equations and "eliminate" variables by canceling out terms. This leaves you with an equation with only one variable to solve. Then, once you solve that equation, you can substitute the answer you got into one of the system's equations to find either the x or y value.
This problem already has one 3x in each equation, so let's focus on canceling that term out, eliminating the x variable. To set up this situation, we need one 3x to be negative, so let's multiply the terms in 3x-6y = 4 by -1, which gets us to -3x + 6y = -4. Now let's "cancel out" those x variables by adding them together. (This work is shown in the first picture.)
Remember to add the other terms. This leaves us with the equation 13y = 13. By isolating y, we can find its value, which leaves us with y = 1.
2) Next, let's substitute 1 for y in one of the two equations. In this case, I used 3x + 7y = 17. Then, isolate x to find its value:
Therefore, the answer would be .
