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Solving Simultaneous Equations - h1014v1_153
Simultaneous Equations Summary
Mathematics Volume 1 of 2
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SIMULTANEOUS EQUATIONS
Algebra
Substitute the value for
x
into the other equation:
5 (2 -
4
y
) + 3
y
= -1
3
10 -
20
y
+ 3
y
= -1
3
10 -
20
y
+
9
y
= -1
3
3
10 -
11
y
= -1
3
-
11
y
= -11
3
y
= 3
Substitute
y
= 3 into the first equation:
3
x
+ 4(3) = 6
3
x
= -6
x
= -2
Check the solution by substituting
x
= -2 and
y
= 3 into the original equations.
3
x
+ 4
y
= 6
5
x
+ 3
y
= -1
3(-2) + 4(3) = 6
5(-2) + 3(3) = -1
-6 + 12 = 6
-10 + 9 = -1
6 = 6
-1 = -1
Thus, the solution checks.
MA-02
Page 40
Rev. 0
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