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monitta
3 years ago
11

Solve by elimination. 2x – 1= 20 2.x + 3y = 20

Mathematics
1 answer:
avanturin [10]3 years ago
5 0

2x-1=20

2x=20/1

2x=20

x=20/2

x=10

2x+3y =20

2×10+3y=20

20+3y=20

3y=20-20

3y=0

3/0=y

y=0

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To solve a problem with two variables, you need to set up a system of equations comparing the two variables and solve using either substitution or elimination.  If 'x' represents the number of sandwiches and 'y' represents the number of lemonades, then x + y = 8 because they bought a total of 8 items.  Also, the cost of each item is given as well as the total amount of money spent.  So, our second equation is: 2x + y = 11.   We can use inverse operations to solve for 'y' in the first equation:  x + y - x = 8 - x which simplifies to: y = 8 - x.  We can then use this expression to substitute in for the variable 'y' in the second equation:  2x + 8 - x = 11.

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