What is the solution to the system
y=10x-3
y=-7x+3
answers from
5/17, 16/17
4/17, 16/19
-5/17, 16/17
3/17, 5/17
my answer is
5/17 or 16/17
Both equations are for straight lines. Two lines can intersect in only one point, so I can't imagine how you got two solutions. Did you work the problem two different ways, and the answers disagreed? It would be really nice if you showed your work.
Now for the bad news:
10x-3 = -7x+3
17x = 6
x = 6/17
no choice matches the solution. Is there a typo somewhere? Since 16/17 appears twice, I suspect that one of them is an error.
I agree with Steve,
I got x = 6/17 , y = 9/17 , which does not match any of the answers given
itsy=-7x+2 not y=-7x+3
To find the solution to the given system of equations, we need to solve them simultaneously. Let's start by setting the two equations equal to each other:
10x - 3 = -7x + 3
Now, we can simplify and solve for x:
10x + 7x = 3 + 3
17x = 6
x = 6/17
Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. Let's use the first equation:
y = 10(6/17) - 3
y = 60/17 - 51/17
y = 9/17
So, the solution to the given system of equations is x = 6/17 and y = 9/17.
Comparing this with the provided answer choices, we can see that the correct answer is 6/17, 9/17.