Answer:
(6, - 3 )
Step-by-step explanation:
Given the 2 equations
2x + 5y = - 3 → (1)
2x + 2y = 6 → (2)
Subtracting (1) from (2) term by term will eliminate the x- term
(2x - 2x) + (2y - 5y) = 6 - (- 3), that is
- 3y = 9 ( divide both sides by - 3 )
y = - 3
Substitute y = - 3 in either of the 2 equations and solve for x
Substituting y = - 3 in (1)
2x + 5(- 3) = - 3
2x - 15 = - 3 ( add 15 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Solution is (6, - 3 )
Answer:
<h2>2.) When dividing by −2, he did not change the direction of the sign. </h2>
Step-by-step explanation:
-4(x + 8) ≤ -2x + 50 <em>use the distributive property: a(b + c) = ab + ac</em>
-4x - 32 ≤ -2x + 50 <em>add 2x to both sides</em>
-4x + 2x - 32 ≤ -2x + 2x + 50
-2x - 32 ≤ 50 <em>add 32 to both sides</em>
-2x - 32 + 32 ≤ +50 + 32
-2x ≤ 82 <em>divide both sides by (-2) / </em><em>flip the inequality sign</em><em>/</em>
x ≥ -41
Andrew's mistake:
2.) When dividing by −2, he did not change the direction of the sign.
Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Answer:
<h2>a₁ = 1 and r = 3</h2>
Step-by-step explanation:
