Answer: (4,2)
Step-by-step explanation:
Hello there!
3x - y = 3
-x + y = 3
We need to solve 3x - y = 3 for y
Let start by adding -3x to both sides
3x - y = 3
3x - 3x - y = 3 - 3x
-y = 3 - 3x
We cannot leave the variable with a negative sign. We must multiply both sides by -1
-y * -1= (3 - 3x)-1
y = 3x - 3
Substitute 3x -3 for y in -x+y=3
-x + y = 3
-x + 3x - 3 = 3
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6/2
x = 3
Now substitute 3 for x in y=3x -3
y = 3x - 3
y = 3(3) - 3
y= 9 - 3
y= 6
Thus,
The answer is x=3 and y=6
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Answer:

Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values

solve for x
Combine like terms

Group terms



Find the measure of angle CDE

substitute the value of x

<h2>Writing an Equation of a Line in Slope-Intercept Form</h2><h3>
Answer:</h3>
![y = [ -2 ] x + [ 1 ]\\](https://tex.z-dn.net/?f=y%20%3D%20%5B%20-2%20%5D%20x%20%2B%20%5B%201%20%5D%5C%5C)
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my answer from this Question to know more about Slope-Intercept Form: <u>brainly.com/question/24599351</u></em>
We must first find the slope.
<em>Please refer to my Answer from this Questions to know more about Slopes of a Line:</em>
We can see the marked points,
and
, are on the line.
Solving for the slope:

Now we can now solve for the
-intercept.
<em>Please refer to the second paragraph of my Answer from this Question to know more about y-intercepts: <u>brainly.com/question/24606058</u></em>
We can see that the line intersected the
-axis at
so
.