Answer:
Jumper, y = 172
Shirt, x = - 105
Step-by-step explanation:
Let :
Shirt = x
Jumper = y
5x + 4y = 163 - - (1)
3x + 2y = 29 - - - (2)
Multiply (1) by 3 and (2) by 5
15x + 12y = 489 - - - (3)
15x + 10y = 145 - - - (4)
Subtract :
12y - 10y = 489 - 145
2y = 344
y = 344 / 2
y = 172
Put y = 172 in (3)
15x + 12(172) = 489
15x + 2064 = 489
15x = 489 - 2064
15x = - 1575
x = - 105
The values ;
Jumper, y = 172
Shirt, x = - 105
We weren't supposed to obtain a negative value, kindly check if the parameters given are correct.
if it is solution point (4, –2) must satisfy both equations
(1) –3x – 2y = –8-->-3*4-2*(-2)=-8
-12+4=-8 then-->-8=-8 ok
(2) y = 2x – 5
-2=2*4-5=3---------->-2 is not 3
the point (4, –2) is not solution of the system of equations
The number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170 is; Associative Property
<h3>What is the Number Property that was used?</h3>
The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.
Now, this associative property is used here because we see that;
2(5 • 17) = (2 • 5) 17
In both left and right hand sides we see that despite the change in order, the result remains the same.
Read more about Number Property at; brainly.com/question/24792133
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Answer:
28
Step-by-step explanation:
140 divided by 5 is 28
224 divided by 8 is 28
480 divided by 15 is 28
