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4 years ago

How do you do simultaneous equations ??

Mathematics

2 answers:

Mazyrski [523]4 years ago

5 0

The answer is y=3 and the x=3.2 hope I helped

Pachacha [2.7K]4 years ago

3 0

5x + 2y = 22
10x + 9y = 59
so now we need to either eliminate the y or the x and we need to multiply both numbers by something so that they will be the same and we can add or minus them.
so here I will eliminate x because it's easier

we multiply the top equation by 2 and the bottom equation by 1 and we get

10x + 4y = 44
10x + 9y = 59

so now we can see that the number of x's are the same and we can just find the DIFFERENCE between the two equations if it was -10x and 10x we would ADD

= 5y = 15
notice that the x'a have cancelled each other out

now we divide both sides by 5 so
y=3

now we have y, we need to substitute it into one of the original equations, doesn't matter which one. I'm going to do the first one.

5x + 2y = 22
5x + 2(3)=22
5x + 6 = 22
now minus 6 from both sides
5x = 16
divide both sides by 5
x = 3.2

we have our answers but to be sure we need to just substitute the values for x and y into BOTH original equations.

5x + 2y = 22
= 16 + 6 = 22

10x + 9y = 59
= 32 + 27 =59

Tadaa!! and there you have it
y = 3
x = 3.2

hope this helped :)

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Mkey [24]

I will try to solve your system of equations.
3
x
−
4
y
=
2
;
9
x
−
12
y
=
6
Step: Solve
3
x
−
4
y
=
2
for x:
3
x
−
4
y
+
4
y
=
2
+
4
y
(Add 4y to both sides)
3
x
=
4
y
+
2
3
x
3
=
4
y
+
2
3
(Divide both sides by 3)
x
=
4
3
y
+
2
3
Step: Substitute
4
3
y
+
2
3
for
x
in
9
x
−
12
y
=
6
:
9
x
−
12
y
=
6
9
(
4
3
y
+
2
3
)
−
12
y
=
6
6
=
6
(Simplify both sides of the equation)
6
+
−
6
=
6
+
−
6
(Add -6 to both sides)
0
=
0
Answer:
Infinitely many solutions.

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