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When you solve this system of equations by substitution, why did you get no solution? Choose all that apply.

When You Solve This System Of Equations By Substitution Why Did You Get No Solution Choose All That Apply class=

Sagot :

Let's plot the lines to see how their graph look like:

for the first equation, we have:

7x + y = 3, at x equals 0, we get:

7*0 + y = 3

y = 3, then the first line goes through the point (0,3)

At x equals 1, we get:

7*1+y=3

y = 3-7= -4

Then, the first line goes through the points (0, 3) and (1, -4).

For the second equation, taking the same values of x, we get:

y = -7*0 + 10 = 10 (0, 10)

y= -7*1 +10 = 3 (1, 3)

Now that we know two points of the lines, let's graph them:

As you can see, are not the same, the lines are parallel, which means that they don't intersect and that's why this system has no solution not even at point (0,0)

View image AliusN116845