Answer:
A=3
B=8
C=2
D=5
Step-by-step explanation:
hope this helps
Answer:
rational
Step-by-step explanation:
Answer:
You need to know that not a cheat
Answer:
y = 3x + 23 and
Step-by-step explanation:
The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.
Now, 9x - 3y = - 69
⇒ 3x - y = - 23 {Dividing both sides by 3}
⇒ 3x + 23 = y
⇒ y = 3x + 23 {Interchanging the sides} (Answer)
The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.
Now, x - 3y = - 6
⇒ x + 6 = 3y
⇒ 3y = x + 6 {Interchanging the sides}
⇒ 
{Dividing both sides by 3}
⇒ (Answer)
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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