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valentinak56 [21]
3 years ago
13

Can someone help plz

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

A.) 2x - 9x - 30 = -6

Step-by-step explanation:

hello !

to solve this system of equations, first, we substitute the equation y = 3x + 10 to the <em>y </em>variable in the equation 2x-3y = -6. Therefore, we get:

2x - 3(3x+10)=-6

now, we simplify by multiplying -3 to the variables inside the parenthesis, which, in short, is also called the distributive property. thus, we get:

2x - 9x - 30 = -6

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What is the solution (x,y) to the system of equations below <br><br> x + 9y = 3<br> y= 1/3 x + 7
Alex_Xolod [135]

Let's solve this by substitution.


y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.


clear out fractions by mult. all 3 terms by 3: 3x + 9x + 63 = 3


Combine like terms: 12x = -60. Then x = -5


Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7

= -5/3 + 35/3 = 30/3 = 10.


Thus, the solution (x,y) of this system is (-5,10).


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3 years ago
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