We can answer this question by solving each equation for one variable, and then substituting.
3x + y = 11 Given
y = -3x + 11 Subtract 3x from both sides
This equation is now solved for y. Now, let's do the other equation. Make sure to solve it for the same variable.
-2x + y = 1 Given
y = 2x + 1 Add 2x to both sides
Now, let's set both equations equal to each other, since they both equal y.
2x + 1 = -3x + 11 Set both equations equal to each other
1 = -5x + 11 Subtract 2x from both sides
-10 = -5x Subtract 11 from both sides
2 = x Divide both sides by -5
Now, let's substitute x in for one of the equations we found earlier, so that we can find y.
y = 2x + 1 Given
y = (2)(2) + 1 Substitute the x-value, 2
y = 4 + 1 Multiply
y = 5 Add
So, x = 2 and y = 5.
Hope this helps!
Answer:
y > 2x+1
Step-by-step explanation:
Find an equation of the line: slope = 2, y-intercept = 1, y = 2x + 1
Find a point in the shaded area of the graph to substitute into the equation: ex. (0, 2), substituted in, it becomes 2 = 1
Change the sign so 2 = 1 becomes true; 2 > 1
Implement that sign into the original equation, and because it is a dotted line, not a solid one, the sign will not include "or equal to"
y > 2x + 1
Answer:
X will equal 10 x=10
Step-by-step explanation:
First subtract 100 from both sides to get x^2-20x=-100 then find c. (-b/2)^2 is the formula. then c=100 so add 100 to both sides. x^2-20x+100=200. Then Factor. (x-10)^2=0 is what you should get. then do square root. x-10=0. So now add 10 to both sides and you get x=10. Tada!