ANSWER: a=12 b=15
Explanation: (look at work below)
4a + 1b = 63 (eq1)
5a + 3b = 105 (eq2)
-12a + -3b = -189 (subt. eq1 from eq2)
————————-
-7a = -84
a = 12
4(12) + 1b = 63 (plug in the a value)
48 + 1b = 63
b = 15
3 - 50(2x + 1)
3 - 100x - 50
-100x + (3 - 50)
-100x - 47
<span>in standard form the equation has to be changed from slope-intercept form to standard. bt first you have to find the slope and then change the equation to standard form.
the slope intercet form is y=mx+b using y-k= m(x-h)
and after, change the equation to ax+by+c</span>
Distributive property. You distribute the 2 to the X and get 2x, then distribute the 2 and the 3. 2X3=6. This gets you 2x+6.
The missing equations are;
a + 2b + 3c = 12
3a + 2b + 5c = 22
2a + 4b + 4c = 18
Answer:
a = 2
b = 0.5
c = 3
Step-by-step explanation:
We are told that;
a represent the price per pound of apples
b represent the price per pound of bananas
c represent the price per pound of oranges
The equations system is;
a + 2b + 3c = 12 - - - (eq 1)
3a + 2b + 5c = 22 - - - (eq 2)
2a + 4b + 4c = 18 - - - (eq 3)
Divide through equation 3 by 2 to get
a + 2b + 2c = 9 - - - (eq 4)
Subtract eq 4 from eq 1 to get;
3c - 2c = 12 - 9
c = 3
Put 3 for c in eq(2) and eq 4;
3a + 2b + 5c = 22
3a + 2b + 5(3) = 22
3a + 2b + 15 = 22
3a + 2b = 7 - - - (5)
a + 2b + 2(3) = 9
a + 2b + 6 = 9
a + 2b = 3 - - - (eq 6)
Subtract eq 6 from eq 5 to get;
2a = 7 - 3
2a = 4
a = 2
Put 2 for a in eq 6;
2 + 2b = 3
2b = 3 - 2
2b = 1
b = 1/2
b = 0.5
