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juanitarodrigue
16.06.2021 •
Mathematics
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. Y = negative 4. Step 5 Solution is (3, negative 4). Is Claire's solution to the system of equations correct? Explain why or why not.
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Ответ:
Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.
Step-by-step explanation:
Following the steps taken :
4x - 2y = 4 - - - (1)
3x + 3y = 21 - - - (2)
Multiply (1) by 3 and (2) by 2
12x - 6y = 12 - - - (3)
6x + 6y = 42 - - - (4)
Add (3) and (4)
18x = 54
x = 54/18
x = 3
Put x = 3 in (1)
4(3) - 2y = 4
12 - 2y = 4
-2y = 4 - 12
-2y = - 8 (this is where the mistake lies)
It shouldn't be 2y = - 8 as stated
Ответ:
yes because when there is a parenthesis next to a number like 5(6) it means to multiply both together just like f(x) is to multiply each other