Brianna solved a two-step equation, but she made a mistake along the way.
0.1x + 3 = 1.7
(-3) + 0.1x + 3 = 1.7 + (-3) Line 1
0.1x = -1.3 Line 2
(-0.1) + 0.1x = -1.3 + (-0.1) Line 3
x = -1.4 Line 4
What mistake did Brianna make?
On Line 1, Brianna should have subtracted 3 instead of adding -3.
On Line 1, Brianna violated the addition property of equality.
On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.
On Line 3, Brianna violated the addition property of equality.
On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.
The mistake Brianna made is on Line 1. She should have subtracted 3 instead of adding -3.
The mistake Brianna made is on Line 1. Instead of subtracting 3, she added -3. To solve the equation correctly, the correct step would have been to subtract 3 from both sides.
The subtraction property of equality states that if you subtract the same quantity from both sides of an equation, the equation remains true. In this case, you need to subtract 3 from both sides of the equation to isolate the term with the variable.
Thus, the correct step should be:
(-3) + 0.1x + 3 = 1.7 + (-3)
By subtracting 3 from both sides, the equation becomes:
0.1x = -1.3
So, the mistake Brianna made was not using the subtraction property of equality correctly on Line 1.