2a + 7b = 0 ⇒ 10a + 35b = 0
3a - 5b = 31 ⇒ 21a - 35b = 217
31a = 217
a = 7
2a + 7b = 0
2(7) + 7b = 0
14 + 7b = 0
7b = -14
b = -2
(x, y) = (7, -2)
1. Associative Property of Addition
2. Addition Property of Equality
3. Division Property of Equality
4. Substitution Property of Equality
5. Multiplication Property of Equality
6. Subtraction Property of Equality
7. Simplify
If this is for slope-intercept, the equation is: y = 3x + 1
To find the slope, you would find the rise over run (
). So, you would start where the graph intersect at the y-axis, which is 1. You would go up 3 times, and right 1 time. So,
, or 3, would be your slope. To find the y-intercept, you would need to find where the graph intersects at the y-axis, which is 1, so it would be your y-intercept. Plug them into the y = mx + b formula and the answer is <em>y = 3x + 1</em>.
If you have any further questions, please reach out to me :)
I believe that the answer is 4.4
Answer:
From the graph, it is clear that the point of intersection is:
And the x-coordinate of the point of intersection for the two lines is:
Step-by-step explanation:
- As we know that the solution of the system of equations is the point of intersection. Let us solve it.
Given the system of equations

solving the system of equations
subtracting 2x+y = -9 from 2x-5y = -3




so

solving for y

Divide both sides by -6





Divide both sides by 2


Thus, the x-coordinate of the point of intersection for the two lines below will be:

Also, the graph is attached.
From the graph, it is clear that the point of intersection is:
And the x-coordinate of the point of intersection for the two lines is: