Answer: Your answer is going to be D. (10, -1)
Step-by-step explanation:
Starting off the equation you want to get rid of either x or y ( I did x first)
Take x+3y=7 and multiply the entire equation by -2 -- -2(x+3y=7)
You get -2x-6y=-14 and then add the two equations together
-2x-6y=-14
2x-4y=24 -- You get -10y = 10
y = -1
You can take the -1 and plug it back into either equation.. ( I did x+3y=7)
x+3(-1)=7 -- x-3=7 -- Add the 3 to get the 10 ( x = 10 )
So you have x = 10 & y = -1
(10,-1)
Make the equation the same or a multiple of the other to have an infinite number of solutions. See how the -8/2= -4 and 6/2=3 ? then -2/2 = c
Make c = -1 and they are the same linear equation. (same slope, same intercepts, same line) and therefore have infinite solutions.
In order to have no solutions, the lines cannot cross at all and so they must be parallel but not the same line. Parallel lines have the same slope with different intercepts. if you rearrange both equations in slope intercept form:
y = x/3 - 4/3
y = - cx/3 - 4/3
no matter what you make c the lines will always cross at the y-intercept (0, -4/3). this is a solution and therefore there's no value of c that would produce a system with no solution.
Answer:
7 hours
Step-by-step explanation:
567/9 = 63
441/63 = 7
It would take him 7 hours to drive 441 miles.
Hope this helps
Answer:
Side-Side-Side (SSS)
Step-by-step explanation:
Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
When that equation is graphed, it produces a straiught line. The slope
of the line is 5, and the line intersects the y-axis at y=6.
