y = 3x + 5
3x - y = 5
Answer:
Step-by-step explanation:
Substitute our first equation into the second equation. We are given y, so this is ideal of substitution method.
y = 3x + 5
3x - y = 5
3x - (3x + 5) = 5
3x - 3x - 5 = 5
-5 = 5
There is no solution for the system because after solving, the sides of the equation are not equal. We can further check this by writing the second equation in a "y = mx + b form, or slope-intercept form. This well tell use about the graphs of the equations.
3x - y = 5
-y = -3x + 5
y = 3x -5
When comparing with the first equation, we can see that the slope is 3 for both lines, but the y-intercept is different. This means we have two parallel lines that cross the y-axis at (0, 5) and (0, -5). From this, one can conclude there is no solution because parallel lines with different y-intercepts will never cross.
Answer:
Option A on edg
Step-by-step explanation:
Parallelogram A B C D is shown.
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
angles. Because AB and DC are
, the same-side interior angles must be
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Answer:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are
✔ same-side interior
angles. Because AB and DC are
✔ parallel
, the same-side interior angles must be
✔ supplementary
by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Step-by-step explanation:
Answer:
The answer above is correct!
The correct options are:
First box: option D. same-side interior
Second box: option C. parallel
Third box: option D. supplementary
Step-by-step explanation:
Hope this helped - just got it right on edge!
Brainliest would be greatly appreciated :)