Y-intercept:
Plug in 0 for 'x' to find the y-intercept:
7x - 3y = 21
7(0) - 3y = 21
0 - 3y = 21
-3y = 21
Divide -3 to both sides:
y = -7
So the y-intercept is -7.
x-intercept:
7x - 3y = 21
Plug in 0 for 'y' to find the x-intercept.
7x - 3(0) = 21
7x - 0 = 21
7x = 21
Divide 7 to both sides:
x = 3
So the x-intercept is 3.
Answer:
The system of equations 8x-3y=10 and 16x-6y=22 has no solution
Step-by-step explanation:
When both of the above equations are put into standard form, you get ...
8x - 3y = 10
8x - 3y = 11
This is an "inconsistent" pair of equations. There are no values of x and y that can satisfy both equations, hence there is no solution.
Answer:
a = -2
b = 7
Step-by-step explanation:
5a+3b=11
-2a+3=b
substitute for b:
5a + 3(-2a + 3) = 11
5a -6a + 9 = 11
-a = 2
a = -2
b = 7
Answer:
y = 3/7x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 3/7
Point (14, 0)
<u>Step 2: Find y-intercept </u><em><u>b</u></em>
- Substitute: 0 = 3/7(14) + b
- Multiply: 0 = 6 + b
- Isolate <em>b</em>: -6 = b
- Rewrite: b = -6
<u>Step 3: Write linear equation</u>
y = 3/7x - 6
