Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
- 3x - 5y = - 7 → (1)
- 4x + 5y = 14 → (2)
Add the 2 equations term by term to eliminate y , that is
- 7x + 0 = 7
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 3(- 1) - 5y = - 7
3 - 5y = - 7 ( subtract 3 from both sides )
- 5y = - 10 ( divide both sides by - 5 )
y = 2
solution is (- 1, 2 )
Answer:
m > 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
11 + m > 15
<u>Step 2: Solve for </u><em><u>m</u></em>
- Subtract 11 on both sides: m > 4
Here we see that any value <em>m</em> greater than 4 would work as a solution to the inequality.
14a. =
15b. 2/3 is less than 0.667
16c. 3 7/8 is greater than 3.375
17d. 3/8 is less than 1/2
Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y. y = 34x - 5 and y = -14x+3. Set those equal to each other, solve for x to get x = 1/6. Sub in that x value to get y = 2/3. The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.
Answer:
B) ∠z = 40°
Step-by-step explanation:
<u>All three angles of a triangle add up to 180°</u>. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.
If ∠ADC = 130° then:
180° - 130° = 50°
Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.
180° - 50° - 90° =
180° - 140° = 40°
~Hope this helps!~
