Answer:
Step-by-step explanation:
The sum of the two costs is $52, so we can write ...
x + y = 52
The shoes cost $4 more than the jacket, so we can write ...
x - y = 4
These are your system of equations.
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Subtract the second equation from the first:
(x +y) -(x -y) = (52) -(4)
2y = 48 . . . . . simplify
y = 24 . . . . . . .divide by 2
The cost of the jacket is $24.
In light of the fact that point y is the point at which segment xz is divided, the value of the variable an is equal to 4.
<h3>How can I determine what the value of the variable an is?</h3>
Due to the fact that point y divides segment xz into two distinct halves, the following equation may be used to get segment xz's total length:
xz = xy + yz.
The following are the parameters for the test:
xy = 7a. yz = 5a. xz = 6a + 24.
As a result, we need to substitute into the equation and then solve for a.
xz = xy + yz
6a + 24 = 7a + 5a
12a = 6a + 24
6a = 24
a = 24/6
a = 4.
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Fruit adult = 26
fruit total = 52
vegetable child = 14
total child = 40
total adult = 50
<em>Let </em><em>the </em><em>two </em><em>numbers </em><em>be </em><em>3x </em><em>and </em><em>4x</em>
<em>sum </em><em>=</em><em>3x </em><em>+</em><em> </em><em>4x </em><em>=</em><em> </em><em>7x</em>
<em>7x </em><em>=</em><em> </em><em>133</em>
<em>x=</em><em> </em><em>19</em>
<em>the </em><em>numbers </em><em>are </em><em>:</em>
<em>3(</em><em>1</em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>57</em>
<em>4(</em><em>1</em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>76</em>
Answer:
the student solved the equation incorrectly because the original equation has one solution
Step-by-step explanation:
1/8(40x + 16) = 9x − 7(2x − 1) − 5
<em>use the distributive property a(b + c) = ab + ac</em>
(1/8)(40x) + (1/8)(16) = 9x + (-7)(2x) + (-7)(-1)
5x +2 = 9x − 14x + 7 − 5 <em>combine like terms</em>
5x + 2 = (9x - 14x) + (7 - 5)
<em>here the student make mistake 9x - 14x = 5x</em>
5x+2=-5x+2 <em>add 5x to both sides and subtract 2 from both sides</em>
5x + 5x + 2 - 2 = -5x + 5x + 2 - 2
10x = 0 <em>divide both sides by 10</em>
10x/10 = 0/10
x = 0
