Yes 1 and 3 are supplementary
Answer:
x = -2, y = -4
coordinate: (-2, -4)
Step-by-step explanation:
Given system of equations:
a) 4x - 7y = 20
b) x - 3y = 10
1. Make x the subject in the <em>second</em> equation:
⇒ x - 3y = 10 [add 3y to both sides]
⇒ x - 3y + 3y = 10 + 3y
⇒ x = 3y + 10
2. Substitute the given value of x into <em>first</em> equation:
⇒ 4x - 7y = 20
⇒ 4(3y + 10) - 7y = 20 [distribute 4 through the parentheses]
⇒12y + 40 - 7y = 20 [combine like terms]
⇒ 5y + 40 = 20 [subtract 40 from both sides]
⇒ 5y - 40 - 40 = 20 - 40
⇒ 5y = -20 [divide both sides by 5]
⇒ 5y ÷ 5 = -20 ÷ 5
⇒ y = -4
3. Find the value of x by substituting the given value of y into x = 3y + 10:
⇒ x = 3y + 10
⇒ x = 3(-4) + 10 [multiply]
⇒ x = -12 + 10 [add]
⇒ x = -2
4. Check your work:
<em>a) 4x - 7y = 20</em>
⇒ 4(-2) - 7(-4) = 20
⇒ -8 + 28 = 20
⇒ 20 = 20 ✔
<em>b) x - 3y = 10</em>
⇒ -2 - 3(-4) = 10
⇒ -2 + 12 = 10
⇒ 10 = 10 ✔
This system of equations has a solution at (-2, -4).
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Answer:
y = x - 3
<h3>How I know I'm correct:</h3>
if you plug in the numbers from the table, it checks out.
y = x - 3
0 = 3 - 3
0 = 0
y = x - 3
1 = 4 - 3
1 = 1
y = x - 3
2 = 5 - 3
2 = 2
and so on
Which one of the following items does not appear under the heading 'equity and reserves' on a company
statement of financial position?
A Share premium account
B Retained earnings
C Revaluation surplus
D Loan stock
Answer:
True
Step-by-step explanation:
The given parameters are;
Two triangles each with known measures of two sides of the triangle and a non included angle
Therefore, with the given information, each of the the triangles are undefined because the sides can be opened wider or narrowed to have two possible solutions, in the same manner a compass, having one leg at a fixed inclination to the drawing paper can have the second leg either come closer or go further than 90 degrees while the inclination of the one (first) leg remains the same.
