Answer:
(1, 6.71)
Explanation:
I'm assuming that you need to solve this by substitution or elimination since you didn't include any context in your question, just the equations.
To solve this by elimination, first, decide on a variable you want to get rid of / cancel out. I chose y. To do this, you need to find the least common multiple (LCM) of 7 and 5, which is 35. Now, multiply the top equation, 21x + 7y = 42, by -5. Multiply the bottom equation, -5x + 5y = 10, by 7. Make sure when you multiply that you either make the 5 or the 7 negative so you can cancel out y. I chose to make 5 negative.
After you multiply by the -5 and the 7, rewrite your new equations:
-105x - 35y = -210
-35x + 35y = 70
Now, add the two equations together. When you do this, the y's cancel out and you're left with -140x = -140. Now, divide both sides by -140, and you're left with x = 1. Plug the value of x into one of your original equations. I chose the bottom equation, -5x + 5y = 10.
-5(1) + 7y = 42 -----> -5 + 7y = 42.
Add -5 to both sides, which gives you 7y = 47. Divide both sides by 7, which gives you y = 6.71.
The last step is to put the values of x and y into a point: (1, 6.71).
Hope this helps!